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Finding the Fourth Proportional to 10,993.38, 15,170.22 and 6,517.56

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Solution

The fourth proportional to 10,993.38, 15,170.22 and 6,517.56 is: 8,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.38 : 15,170.22 = 6,517.56 : x
  2. Step 2: Convert to fraction form
    10,993.38/15,170.22 = 6,517.56/x
  3. Step 3: Cross multiply
    10,993.38x = 15,170.22 × 6,517.56
  4. Step 4: Simplify right side
    10,993.38x = 98,872,819.06
  5. Step 5: Solve for x
    x = 98,872,819.06/10,993.38
  6. Step 6: Final answer
    x = 8,993.85

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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.