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Finding the Fourth Proportional to 10,472.86, 14,452.18 and 5,757.11

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Solution

The fourth proportional to 10,472.86, 14,452.18 and 5,757.11 is: 7,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.86 : 14,452.18 = 5,757.11 : x
  2. Step 2: Convert to fraction form
    10,472.86/14,452.18 = 5,757.11/x
  3. Step 3: Cross multiply
    10,472.86x = 14,452.18 × 5,757.11
  4. Step 4: Simplify right side
    10,472.86x = 83,202,790.00
  5. Step 5: Solve for x
    x = 83,202,790.00/10,472.86
  6. Step 6: Final answer
    x = 7,944.61

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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.