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Finding the Fourth Proportional to 16,449.25, 24,671.14 and 5,917.14

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Solution

The fourth proportional to 16,449.25, 24,671.14 and 5,917.14 is: 8,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.25 : 24,671.14 = 5,917.14 : x
  2. Step 2: Convert to fraction form
    16,449.25/24,671.14 = 5,917.14/x
  3. Step 3: Cross multiply
    16,449.25x = 24,671.14 × 5,917.14
  4. Step 4: Simplify right side
    16,449.25x = 145,982,589.34
  5. Step 5: Solve for x
    x = 145,982,589.34/16,449.25
  6. Step 6: Final answer
    x = 8,874.73

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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.