Question

Solve the proportion.
6

7
=
y

84
y=

Answer 1

To solve the proportion

\[
\frac{6}{7} = \frac{y}{84}
\]

we can use cross-multiplication. This involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal.

So, we have:

\[
6 \cdot 84 = 7 \cdot y
\]

Calculating \(6 \cdot 84\):

\[
6 \cdot 84 = 504
\]

Now we can set up the equation:

\[
504 = 7y
\]

To solve for \(y\), divide both sides of the equation by 7:

\[
y = \frac{504}{7}
\]

Calculating \( \frac{504}{7} \):

\[
504 \div 7 = 72
\]

Thus,

\[
y = 72
\]

So the solution to the proportion is:

\[
y = 72
\]