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Finding the Fourth Proportional to 16,617.20, 24,897.45 and 7,834.10

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Solution

The fourth proportional to 16,617.20, 24,897.45 and 7,834.10 is: 11,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.20 : 24,897.45 = 7,834.10 : x
  2. Step 2: Convert to fraction form
    16,617.20/24,897.45 = 7,834.10/x
  3. Step 3: Cross multiply
    16,617.20x = 24,897.45 × 7,834.10
  4. Step 4: Simplify right side
    16,617.20x = 195,049,113.05
  5. Step 5: Solve for x
    x = 195,049,113.05/16,617.20
  6. Step 6: Final answer
    x = 11,737.78

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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.