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Finding the Fourth Proportional to 6,159.88, 9,239.86 and 2,462.42

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Solution

The fourth proportional to 6,159.88, 9,239.86 and 2,462.42 is: 3,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.88 : 9,239.86 = 2,462.42 : x
  2. Step 2: Convert to fraction form
    6,159.88/9,239.86 = 2,462.42/x
  3. Step 3: Cross multiply
    6,159.88x = 9,239.86 × 2,462.42
  4. Step 4: Simplify right side
    6,159.88x = 22,752,416.06
  5. Step 5: Solve for x
    x = 22,752,416.06/6,159.88
  6. Step 6: Final answer
    x = 3,693.65

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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.