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Finding the Fourth Proportional to 10,067.08, 13,891.62 and 9,324.04

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Solution

The fourth proportional to 10,067.08, 13,891.62 and 9,324.04 is: 12,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.08 : 13,891.62 = 9,324.04 : x
  2. Step 2: Convert to fraction form
    10,067.08/13,891.62 = 9,324.04/x
  3. Step 3: Cross multiply
    10,067.08x = 13,891.62 × 9,324.04
  4. Step 4: Simplify right side
    10,067.08x = 129,526,020.54
  5. Step 5: Solve for x
    x = 129,526,020.54/10,067.08
  6. Step 6: Final answer
    x = 12,866.29

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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.