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According to a website where users review their doctors, 116 out of 119 users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's 1,293 patients, about how many patients would recommend Dr. Gutierrez to their friends and family? (Round your answer to the nearest whole number.)

According to a website where users review their doctors, 116116 out of 119119 users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's 11,293293 patients, about how many patients would recommend Dr. Gutierrez to their friends and family?\newline(Round your answer to the nearest whole number.)

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Q. According to a website where users review their doctors, 116116 out of 119119 users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's 11,293293 patients, about how many patients would recommend Dr. Gutierrez to their friends and family?\newline(Round your answer to the nearest whole number.)
  1. Identify given information: Identify the given information and what we need to find.\newlineWe have:\newlineNumber of users who would recommend Dr. Gutierrez: 116116\newlineTotal number of users who reviewed: 119119\newlineTotal number of Dr. Gutierrez's patients: 1,2931,293\newlineWe need to estimate how many of Dr. Gutierrez's patients would recommend him.
  2. Set up proportion: Set up a proportion to represent the relationship between the number of users who recommend the doctor and the total number of users, and apply this proportion to the total patient count.\newlineusers who recommendtotal users=patients who would recommendtotal patients\frac{\text{users who recommend}}{\text{total users}} = \frac{\text{patients who would recommend}}{\text{total patients}}\newline116119=x1,293\frac{116}{119} = \frac{x}{1,293}
  3. Solve for x: Solve for x, which represents the estimated number of patients who would recommend Dr. Gutierrez.\newlineCross multiply to solve for x.\newline116×1,293=119×x116 \times 1,293 = 119 \times x
  4. Perform multiplication: Perform the multiplication on both sides of the equation.\newline116×1,293=150,188116 \times 1,293 = 150,188\newline119×x=150,188119 \times x = 150,188
  5. Divide to solve for x: Divide both sides of the equation by 119119 to solve for xx.\newlinex=150,188119x = \frac{150,188}{119}\newlinex≈1,262.08x \approx 1,262.08
  6. Round the answer: Round the answer to the nearest whole number, as the question asks for an estimate. x≈1,262x \approx 1,262

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