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Finding the Fourth Proportional to 6,328.28, 9,489.65 and 2,167.17

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Solution

The fourth proportional to 6,328.28, 9,489.65 and 2,167.17 is: 3,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.28 : 9,489.65 = 2,167.17 : x
  2. Step 2: Convert to fraction form
    6,328.28/9,489.65 = 2,167.17/x
  3. Step 3: Cross multiply
    6,328.28x = 9,489.65 × 2,167.17
  4. Step 4: Simplify right side
    6,328.28x = 20,565,673.95
  5. Step 5: Solve for x
    x = 20,565,673.95/6,328.28
  6. Step 6: Final answer
    x = 3,249.81

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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.