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Finding the Fourth Proportional to 16,471.75, 22,731.03 and 9,400.45

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Solution

The fourth proportional to 16,471.75, 22,731.03 and 9,400.45 is: 12,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.75 : 22,731.03 = 9,400.45 : x
  2. Step 2: Convert to fraction form
    16,471.75/22,731.03 = 9,400.45/x
  3. Step 3: Cross multiply
    16,471.75x = 22,731.03 × 9,400.45
  4. Step 4: Simplify right side
    16,471.75x = 213,681,910.96
  5. Step 5: Solve for x
    x = 213,681,910.96/16,471.75
  6. Step 6: Final answer
    x = 12,972.63

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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.