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Finding the Fourth Proportional to 6,407.91, 9,613.28 and 2,247.95

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Solution

The fourth proportional to 6,407.91, 9,613.28 and 2,247.95 is: 3,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.91 : 9,613.28 = 2,247.95 : x
  2. Step 2: Convert to fraction form
    6,407.91/9,613.28 = 2,247.95/x
  3. Step 3: Cross multiply
    6,407.91x = 9,613.28 × 2,247.95
  4. Step 4: Simplify right side
    6,407.91x = 21,610,202.43
  5. Step 5: Solve for x
    x = 21,610,202.43/6,407.91
  6. Step 6: Final answer
    x = 3,372.43

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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.