To find the missing value in the given equivalent ratios:
[tex]\[ \frac{1 \text{ inch}}{2.54 \text{ centimeters}} = \frac{4.5 \text{ inches}}{x \text{ centimeters}} \][/tex]
we need to determine how many centimeters are equivalent to 4.5 inches.
1. Start with the knowledge that 1 inch is equal to 2.54 centimeters. This forms the basis of our conversion.
2. To find how many centimeters are in 4.5 inches, we multiply the number of inches (4.5) by the number of centimeters per inch (2.54).
Thus, we have:
[tex]\[ 4.5 \text{ inches} \times 2.54 \text{ centimeters per inch} \][/tex]
Multiplying these values together, we get:
[tex]\[ 4.5 \times 2.54 = 11.43 \][/tex]
Therefore, 4.5 inches is equal to 11.43 centimeters.
[tex]\[ \text{4.5 inches} = \boxed{11.43} \text{ centimeters} \][/tex]
