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Finding the Fourth Proportional to 6,327.54, 9,490.29 and 2,167.38

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Solution

The fourth proportional to 6,327.54, 9,490.29 and 2,167.38 is: 3,250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.54 : 9,490.29 = 2,167.38 : x
  2. Step 2: Convert to fraction form
    6,327.54/9,490.29 = 2,167.38/x
  3. Step 3: Cross multiply
    6,327.54x = 9,490.29 × 2,167.38
  4. Step 4: Simplify right side
    6,327.54x = 20,569,064.74
  5. Step 5: Solve for x
    x = 20,569,064.74/6,327.54
  6. Step 6: Final answer
    x = 3,250.72

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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.