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Finding the Fourth Proportional to 6,614.55, 9,918.88 and 3,101.71

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Solution

The fourth proportional to 6,614.55, 9,918.88 and 3,101.71 is: 4,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.55 : 9,918.88 = 3,101.71 : x
  2. Step 2: Convert to fraction form
    6,614.55/9,918.88 = 3,101.71/x
  3. Step 3: Cross multiply
    6,614.55x = 9,918.88 × 3,101.71
  4. Step 4: Simplify right side
    6,614.55x = 30,765,489.28
  5. Step 5: Solve for x
    x = 30,765,489.28/6,614.55
  6. Step 6: Final answer
    x = 4,651.18

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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.