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Finding the Fourth Proportional to 6,938, 9,572.10 and 3,951.73

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Solution

The fourth proportional to 6,938, 9,572.10 and 3,951.73 is: 5,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938 : 9,572.10 = 3,951.73 : x
  2. Step 2: Convert to fraction form
    6,938/9,572.10 = 3,951.73/x
  3. Step 3: Cross multiply
    6,938x = 9,572.10 × 3,951.73
  4. Step 4: Simplify right side
    6,938x = 37,826,354.73
  5. Step 5: Solve for x
    x = 37,826,354.73/6,938
  6. Step 6: Final answer
    x = 5,452.05

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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.