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Finding the Fourth Proportional to 22,049.97, 33,074.79 and 8,902.14

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Solution

The fourth proportional to 22,049.97, 33,074.79 and 8,902.14 is: 13,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.97 : 33,074.79 = 8,902.14 : x
  2. Step 2: Convert to fraction form
    22,049.97/33,074.79 = 8,902.14/x
  3. Step 3: Cross multiply
    22,049.97x = 33,074.79 × 8,902.14
  4. Step 4: Simplify right side
    22,049.97x = 294,436,411.05
  5. Step 5: Solve for x
    x = 294,436,411.05/22,049.97
  6. Step 6: Final answer
    x = 13,353.14

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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.