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Finding the Fourth Proportional to 16,464.75, 22,721.17 and 8,910.91

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Solution

The fourth proportional to 16,464.75, 22,721.17 and 8,910.91 is: 12,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.75 : 22,721.17 = 8,910.91 : x
  2. Step 2: Convert to fraction form
    16,464.75/22,721.17 = 8,910.91/x
  3. Step 3: Cross multiply
    16,464.75x = 22,721.17 × 8,910.91
  4. Step 4: Simplify right side
    16,464.75x = 202,466,300.96
  5. Step 5: Solve for x
    x = 202,466,300.96/16,464.75
  6. Step 6: Final answer
    x = 12,296.96

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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.