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Finding the Fourth Proportional to 10,046.56, 13,867.14 and 6,067

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Solution

The fourth proportional to 10,046.56, 13,867.14 and 6,067 is: 8,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.56 : 13,867.14 = 6,067 : x
  2. Step 2: Convert to fraction form
    10,046.56/13,867.14 = 6,067/x
  3. Step 3: Cross multiply
    10,046.56x = 13,867.14 × 6,067
  4. Step 4: Simplify right side
    10,046.56x = 84,131,938.38
  5. Step 5: Solve for x
    x = 84,131,938.38/10,046.56
  6. Step 6: Final answer
    x = 8,374.20

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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.