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Finding the Fourth Proportional to 6,909.64, 10,364.16 and 2,229.88

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Solution

The fourth proportional to 6,909.64, 10,364.16 and 2,229.88 is: 3,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.64 : 10,364.16 = 2,229.88 : x
  2. Step 2: Convert to fraction form
    6,909.64/10,364.16 = 2,229.88/x
  3. Step 3: Cross multiply
    6,909.64x = 10,364.16 × 2,229.88
  4. Step 4: Simplify right side
    6,909.64x = 23,110,833.10
  5. Step 5: Solve for x
    x = 23,110,833.10/6,909.64
  6. Step 6: Final answer
    x = 3,344.72

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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.