Chapter 6.2, Problem 13E

To determine

To solve the proportion by using equivalent ratios.

Answer to Problem 13E

The solution of the given proportion is $a=70$ .

Explanation of Solution

Given information : the proportion is given as,

  $\frac{14}{3}=\frac{a}{15}$

Calculation : the given proportion can be calculated as,

  $\begin{array}{l}\frac{14}{3}=\frac{a}{15}\\ \frac{14}{3\times 5}=\frac{a}{15}\left[\text{compare denominators}\right]\\ \frac{14\times 5}{15}=\frac{a}{15}\left[\text{find }a\right]\\ a=14\times 5\\ a=70\end{array}$

Because,

  $\begin{array}{l}14\times 5=70\\ a=70\end{array}$