Finding the Fourth Proportional to 10,854.56, 14,966.16 and 9,173
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Solution
The fourth proportional to 10,854.56, 14,966.16 and 9,173 is: 12,647.64
Step by Step Solution
- Step 1: Write the proportion equation
10,854.56 : 14,966.16 = 9,173 : x - Step 2: Convert to fraction form
10,854.56/14,966.16 = 9,173/x - Step 3: Cross multiply
10,854.56x = 14,966.16 × 9,173 - Step 4: Simplify right side
10,854.56x = 137,284,585.68 - Step 5: Solve for x
x = 137,284,585.68/10,854.56 - Step 6: Final answer
x = 12,647.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.