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Finding the Fourth Proportional to 6,159.68, 8,497.40 and 4,034.27

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Solution

The fourth proportional to 6,159.68, 8,497.40 and 4,034.27 is: 5,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.68 : 8,497.40 = 4,034.27 : x
  2. Step 2: Convert to fraction form
    6,159.68/8,497.40 = 4,034.27/x
  3. Step 3: Cross multiply
    6,159.68x = 8,497.40 × 4,034.27
  4. Step 4: Simplify right side
    6,159.68x = 34,280,743.24
  5. Step 5: Solve for x
    x = 34,280,743.24/6,159.68
  6. Step 6: Final answer
    x = 5,565.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.