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Finding the Fourth Proportional to 10,147.88, 14,008.34 and 6,170.38

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Solution

The fourth proportional to 10,147.88, 14,008.34 and 6,170.38 is: 8,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.88 : 14,008.34 = 6,170.38 : x
  2. Step 2: Convert to fraction form
    10,147.88/14,008.34 = 6,170.38/x
  3. Step 3: Cross multiply
    10,147.88x = 14,008.34 × 6,170.38
  4. Step 4: Simplify right side
    10,147.88x = 86,436,761.37
  5. Step 5: Solve for x
    x = 86,436,761.37/10,147.88
  6. Step 6: Final answer
    x = 8,517.71

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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.