To find the number of centimeters in 1 inch from the equation provided, we can start with the equation that represents the relationship:
\[ 6y = 15.24x \]
Here, \(x\) represents the number of inches and \(y\) represents the number of centimeters. We know that for \(x = 1\) inch, we want to find \(y\).
First, we can substitute \(x = 1\) into the equation:
\[ 6y = 15.24 \times 1 \]
This simplifies to:
\[ 6y = 15.24 \]
Next, we solve for \(y\) by dividing both sides by 6:
\[ y = \frac{15.24}{6} \]
Now, calculating the right side:
\[ y = 2.54 \]
Thus, \(y\), which represents the number of centimeters in 1 inch, is:
\[ \boxed{2.54} \]
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