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Finding the Fourth Proportional to 10,046.78, 13,864.88 and 6,067.09

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Solution

The fourth proportional to 10,046.78, 13,864.88 and 6,067.09 is: 8,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.78 : 13,864.88 = 6,067.09 : x
  2. Step 2: Convert to fraction form
    10,046.78/13,864.88 = 6,067.09/x
  3. Step 3: Cross multiply
    10,046.78x = 13,864.88 × 6,067.09
  4. Step 4: Simplify right side
    10,046.78x = 84,119,375.14
  5. Step 5: Solve for x
    x = 84,119,375.14/10,046.78
  6. Step 6: Final answer
    x = 8,372.77

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1.5x scale

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.