Question

Use equivalent ratios to solve the proportion.

$\frac{6}{7}=\frac{y}{49}$

Short answer

The solution is $y=42$.

Step-by-step solution

Step 1.  Given

The given proportion is$\frac{6}{7}=\frac{y}{49}.$

Step 2.  To determine

We have to solve the proportion using equivalent ratios.

Step 3.  Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{6}{7}=\frac{y}{49}\\ \frac{6\times 7}{7\times 7}=\frac{y}{49}\text{comparedenominators}\\ \frac{6\times 7}{49}=\frac{y}{49}\left[\text{find}y\right]\\ y=6\times 7=42\\ \end{array}$

So, the solution is $y=42$.