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Finding the Fourth Proportional to 7,694.70, 11,542.05 and 4,414.20

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Solution

The fourth proportional to 7,694.70, 11,542.05 and 4,414.20 is: 6,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.70 : 11,542.05 = 4,414.20 : x
  2. Step 2: Convert to fraction form
    7,694.70/11,542.05 = 4,414.20/x
  3. Step 3: Cross multiply
    7,694.70x = 11,542.05 × 4,414.20
  4. Step 4: Simplify right side
    7,694.70x = 50,948,917.11
  5. Step 5: Solve for x
    x = 50,948,917.11/7,694.70
  6. Step 6: Final answer
    x = 6,621.30

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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.