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Finding the Fourth Proportional to 8,195.14, 11,309.28 and 4,469.14

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Solution

The fourth proportional to 8,195.14, 11,309.28 and 4,469.14 is: 6,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.14 : 11,309.28 = 4,469.14 : x
  2. Step 2: Convert to fraction form
    8,195.14/11,309.28 = 4,469.14/x
  3. Step 3: Cross multiply
    8,195.14x = 11,309.28 × 4,469.14
  4. Step 4: Simplify right side
    8,195.14x = 50,542,755.62
  5. Step 5: Solve for x
    x = 50,542,755.62/8,195.14
  6. Step 6: Final answer
    x = 6,167.41

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1.5x scale

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.