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Finding the Fourth Proportional to 10,425.38, 14,377.29 and 6,644.60

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Solution

The fourth proportional to 10,425.38, 14,377.29 and 6,644.60 is: 9,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.38 : 14,377.29 = 6,644.60 : x
  2. Step 2: Convert to fraction form
    10,425.38/14,377.29 = 6,644.60/x
  3. Step 3: Cross multiply
    10,425.38x = 14,377.29 × 6,644.60
  4. Step 4: Simplify right side
    10,425.38x = 95,531,269.25
  5. Step 5: Solve for x
    x = 95,531,269.25/10,425.38
  6. Step 6: Final answer
    x = 9,163.34

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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.