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Finding the Fourth Proportional to 9,843.92, 13,589.16 and 6,067.76

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Solution

The fourth proportional to 9,843.92, 13,589.16 and 6,067.76 is: 8,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.92 : 13,589.16 = 6,067.76 : x
  2. Step 2: Convert to fraction form
    9,843.92/13,589.16 = 6,067.76/x
  3. Step 3: Cross multiply
    9,843.92x = 13,589.16 × 6,067.76
  4. Step 4: Simplify right side
    9,843.92x = 82,455,761.48
  5. Step 5: Solve for x
    x = 82,455,761.48/9,843.92
  6. Step 6: Final answer
    x = 8,376.31

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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.