To determine the number of centimeters in 1 inch using the proportional relationship given by the equation \( 6y = 15.24x \), we can rearrange the equation to find \( y \) in terms of \( x \).
Here, \( y \) represents the number of centimeters, and \( x \) represents the number of inches.
The equation can be rewritten as:
\[ y = \frac{15.24}{6}x \]
Next, we can find the numeric value of \( \frac{15.24}{6} \):
\[ \frac{15.24}{6} = 2.54 \]
Thus, we have:
\[ y = 2.54x \]
This tells us that for each inch (i.e., when \( x = 1 \)), \( y \) (the number of centimeters) is \( 2.54 \).
Therefore, there are 2.54 centimeters in 1 inch.
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