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Finding the Fourth Proportional to 16,265.30, 24,400.65 and 6,404.90

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Solution

The fourth proportional to 16,265.30, 24,400.65 and 6,404.90 is: 9,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.30 : 24,400.65 = 6,404.90 : x
  2. Step 2: Convert to fraction form
    16,265.30/24,400.65 = 6,404.90/x
  3. Step 3: Cross multiply
    16,265.30x = 24,400.65 × 6,404.90
  4. Step 4: Simplify right side
    16,265.30x = 156,283,723.19
  5. Step 5: Solve for x
    x = 156,283,723.19/16,265.30
  6. Step 6: Final answer
    x = 9,608.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.