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Finding the Fourth Proportional to 6,613.32, 9,911.26 and 3,102.78

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Solution

The fourth proportional to 6,613.32, 9,911.26 and 3,102.78 is: 4,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.32 : 9,911.26 = 3,102.78 : x
  2. Step 2: Convert to fraction form
    6,613.32/9,911.26 = 3,102.78/x
  3. Step 3: Cross multiply
    6,613.32x = 9,911.26 × 3,102.78
  4. Step 4: Simplify right side
    6,613.32x = 30,752,459.30
  5. Step 5: Solve for x
    x = 30,752,459.30/6,613.32
  6. Step 6: Final answer
    x = 4,650.08

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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.