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Finding the Fourth Proportional to 6,194.52, 9,294.90 and 2,734.20

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Solution

The fourth proportional to 6,194.52, 9,294.90 and 2,734.20 is: 4,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.52 : 9,294.90 = 2,734.20 : x
  2. Step 2: Convert to fraction form
    6,194.52/9,294.90 = 2,734.20/x
  3. Step 3: Cross multiply
    6,194.52x = 9,294.90 × 2,734.20
  4. Step 4: Simplify right side
    6,194.52x = 25,414,115.58
  5. Step 5: Solve for x
    x = 25,414,115.58/6,194.52
  6. Step 6: Final answer
    x = 4,102.68

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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.