A scale on a hiking map shows that 1.5 inches represents 4 miles. What number of actual miles are represented by 6 inches on the map? miles

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Set Up Proportion: To find out how many actual miles are represented by 6 inches on the map, we need to set up a proportion based on the scale given. The scale tells us that 1.5 inches represents 4 miles. We can write this as a ratio: 1.5 inches / 4 miles. We want to find out how many miles correspond to 6 inches, so we set up the proportion 1.5 inches / 4 miles = 6 inches / x miles, where x is the number of miles we're trying to find.Cross-Multiply: Next, we solve for x by cross-multiplying. This means we multiply 1.5 by x and 4 by 6, and then set the two products equal to each other: 1.5 * x = 4 * 6.Perform Multiplication: Now we perform the multiplication on the right side of the equation: 4 * 6 = 24. So our equation now is 1.5 * x = 24.Divide Equations: To solve for x, we divide both sides of the equation by 1.5: x = 24 / 1.5.Calculate Final Result: Performing the division gives us the value of x: x = 24 / 1.5 = 16. This means that 6 inches on the map represents 16 actual miles.

A scale on a hiking map shows that $1$ . $5$ inches represents $4$ miles. $\newline$ What number of actual miles are represented by $6$ inches on the map? $\newline$ miles

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A scale on a hiking map shows that $1$ . $5$ inches represents $4$ miles. $\newline$ What number of actual miles are represented by $6$ inches on the map? $\newline$ miles