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Finding the Fourth Proportional to 16,400.55, 24,606.90 and 6,546.90

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Solution

The fourth proportional to 16,400.55, 24,606.90 and 6,546.90 is: 9,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.55 : 24,606.90 = 6,546.90 : x
  2. Step 2: Convert to fraction form
    16,400.55/24,606.90 = 6,546.90/x
  3. Step 3: Cross multiply
    16,400.55x = 24,606.90 × 6,546.90
  4. Step 4: Simplify right side
    16,400.55x = 161,098,913.61
  5. Step 5: Solve for x
    x = 161,098,913.61/16,400.55
  6. Step 6: Final answer
    x = 9,822.78

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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.