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Finding the Fourth Proportional to 6,114.60, 9,171.90 and 2,217.42

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Solution

The fourth proportional to 6,114.60, 9,171.90 and 2,217.42 is: 3,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.60 : 9,171.90 = 2,217.42 : x
  2. Step 2: Convert to fraction form
    6,114.60/9,171.90 = 2,217.42/x
  3. Step 3: Cross multiply
    6,114.60x = 9,171.90 × 2,217.42
  4. Step 4: Simplify right side
    6,114.60x = 20,337,954.50
  5. Step 5: Solve for x
    x = 20,337,954.50/6,114.60
  6. Step 6: Final answer
    x = 3,326.13

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1.5x scale

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.