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Finding the Fourth Proportional to 16,102.92, 24,153.20 and 4,415.22

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Solution

The fourth proportional to 16,102.92, 24,153.20 and 4,415.22 is: 6,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.92 : 24,153.20 = 4,415.22 : x
  2. Step 2: Convert to fraction form
    16,102.92/24,153.20 = 4,415.22/x
  3. Step 3: Cross multiply
    16,102.92x = 24,153.20 × 4,415.22
  4. Step 4: Simplify right side
    16,102.92x = 106,641,691.70
  5. Step 5: Solve for x
    x = 106,641,691.70/16,102.92
  6. Step 6: Final answer
    x = 6,622.51

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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.