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Finding the Fourth Proportional to 16,472.16, 22,734 and 9,400.32

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Solution

The fourth proportional to 16,472.16, 22,734 and 9,400.32 is: 12,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.16 : 22,734 = 9,400.32 : x
  2. Step 2: Convert to fraction form
    16,472.16/22,734 = 9,400.32/x
  3. Step 3: Cross multiply
    16,472.16x = 22,734 × 9,400.32
  4. Step 4: Simplify right side
    16,472.16x = 213,706,874.88
  5. Step 5: Solve for x
    x = 213,706,874.88/16,472.16
  6. Step 6: Final answer
    x = 12,973.82

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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.