To solve the equation \( \frac{67.8}{a} = \frac{7.62}{6.35} \), you can start by solving for \( a \).
First, calculate the right side of the equation:
\[ \frac{7.62}{6.35} \approx 1.198 \]
Now, rewrite the equation:
\[ \frac{67.8}{a} = 1.198 \]
Next, cross-multiply to isolate \( a \):
\[ 67.8 = 1.198 \times a \]
Now, solve for \( a \):
\[ a = \frac{67.8}{1.198} \approx 56.6377 \]
Therefore, the value of \( a \) is approximately \( 56.64 \).