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Finding the Fourth Proportional to 16,546.60, 22,834.09 and 8,993.17

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Solution

The fourth proportional to 16,546.60, 22,834.09 and 8,993.17 is: 12,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.60 : 22,834.09 = 8,993.17 : x
  2. Step 2: Convert to fraction form
    16,546.60/22,834.09 = 8,993.17/x
  3. Step 3: Cross multiply
    16,546.60x = 22,834.09 × 8,993.17
  4. Step 4: Simplify right side
    16,546.60x = 205,350,892.95
  5. Step 5: Solve for x
    x = 205,350,892.95/16,546.60
  6. Step 6: Final answer
    x = 12,410.46

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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.