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Finding the Fourth Proportional to 6,694.62, 10,043.16 and 2,251.86

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Solution

The fourth proportional to 6,694.62, 10,043.16 and 2,251.86 is: 3,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.62 : 10,043.16 = 2,251.86 : x
  2. Step 2: Convert to fraction form
    6,694.62/10,043.16 = 2,251.86/x
  3. Step 3: Cross multiply
    6,694.62x = 10,043.16 × 2,251.86
  4. Step 4: Simplify right side
    6,694.62x = 22,615,790.28
  5. Step 5: Solve for x
    x = 22,615,790.28/6,694.62
  6. Step 6: Final answer
    x = 3,378.20

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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.