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(3)/(7)=(15 )/(x)

37=15x \frac{3}{7}=\frac{15}{x}

Full solution

Q. 37=15x \frac{3}{7}=\frac{15}{x}
  1. Identify Property: Identify the cross-multiplication property for proportions which states that in a proportion, the product of the means equals the product of the extremes.\newlineSo, we can set up the equation: 3×x=7×153 \times x = 7 \times 15.
  2. Perform Multiplication: Perform the multiplication on the right side of the equation.\newlineCalculate 7×157 \times 15 to get 105105.\newlineSo, the equation now is: 3×x=1053 \times x = 105.
  3. Divide to Solve: Divide both sides of the equation by 33 to solve for xx.\newlineDivide 105105 by 33 to get 3535.\newlineSo, the equation now is: x=35x = 35.

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