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Finding the Fourth Proportional to 16,546.60, 24,839.10 and 9,980.20

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Solution

The fourth proportional to 16,546.60, 24,839.10 and 9,980.20 is: 14,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.60 : 24,839.10 = 9,980.20 : x
  2. Step 2: Convert to fraction form
    16,546.60/24,839.10 = 9,980.20/x
  3. Step 3: Cross multiply
    16,546.60x = 24,839.10 × 9,980.20
  4. Step 4: Simplify right side
    16,546.60x = 247,899,185.82
  5. Step 5: Solve for x
    x = 247,899,185.82/16,546.60
  6. Step 6: Final answer
    x = 14,981.88

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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.