Chapter 6.3, Problem 28E

To determine

To evaluate: the proportion $\frac{7}{m}=\frac{0.6}{3}$ .

Answer to Problem 28E

The answer of the proportion $\frac{7}{m}=\frac{0.6}{3}$ is $m=35$ .

Explanation of Solution

Given information: The provided proportion is $\frac{7}{m}=\frac{0.6}{3}$ .

Calculation :

The method used here to solve the proportion is cross products property. The product of the numerator of one ratio and of the denominator of the other is known as a cross product.

  $\begin{array}{l}\frac{7}{m}=\frac{0.6}{3}\text{ [Write proportion}\text{.]}\\ 7\times 3=0.6\times m\text{}\text{}\text{ [Cross products property}\text{.]}\\ 21=0.6m\text{ [Multiply}\text{.]}\\ \frac{21}{0.6}=\frac{0.6m}{0.6}\text{ [Divide each side by 12}.]\\ m=35\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportion $\frac{7}{m}=\frac{0.6}{3}$ is $m=35$ .