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Finding the Fourth Proportional to 6,132.70, 9,199.05 and 3,500.20

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Solution

The fourth proportional to 6,132.70, 9,199.05 and 3,500.20 is: 5,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.70 : 9,199.05 = 3,500.20 : x
  2. Step 2: Convert to fraction form
    6,132.70/9,199.05 = 3,500.20/x
  3. Step 3: Cross multiply
    6,132.70x = 9,199.05 × 3,500.20
  4. Step 4: Simplify right side
    6,132.70x = 32,198,514.81
  5. Step 5: Solve for x
    x = 32,198,514.81/6,132.70
  6. Step 6: Final answer
    x = 5,250.30

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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.