Find the number that makes the ratio equivalent to \( 81: 6 \). Submit

To find a number \( x \) that makes the ratio equivalent to \( 81:6 \), we can set up the equation \( \frac{81}{6} = \frac{81}{x} \). By cross-multiplying, we get \( 81x = 486 \). Now, divide both sides by 81 to solve for \( x \), yielding \( x = \frac{486}{81} = 6 \). Now we can check this by comparing the ratios. \( 81:6 \) simplifies to \( 27:2 \), and \( 81:6 \) divided evenly gives us the same numbers as \( 27:2 \). Therefore, the number that maintains the equivalent ratio to \( 81:6 \) is indeed \( 6 \).