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Finding the Fourth Proportional to 6,114.39, 9,167.50 and 2,218.29

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Solution

The fourth proportional to 6,114.39, 9,167.50 and 2,218.29 is: 3,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.39 : 9,167.50 = 2,218.29 : x
  2. Step 2: Convert to fraction form
    6,114.39/9,167.50 = 2,218.29/x
  3. Step 3: Cross multiply
    6,114.39x = 9,167.50 × 2,218.29
  4. Step 4: Simplify right side
    6,114.39x = 20,336,173.58
  5. Step 5: Solve for x
    x = 20,336,173.58/6,114.39
  6. Step 6: Final answer
    x = 3,325.95

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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.