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Finding the Fourth Proportional to 10,924.96, 15,067.92 and 7,569.04

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Solution

The fourth proportional to 10,924.96, 15,067.92 and 7,569.04 is: 10,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.96 : 15,067.92 = 7,569.04 : x
  2. Step 2: Convert to fraction form
    10,924.96/15,067.92 = 7,569.04/x
  3. Step 3: Cross multiply
    10,924.96x = 15,067.92 × 7,569.04
  4. Step 4: Simplify right side
    10,924.96x = 114,049,689.20
  5. Step 5: Solve for x
    x = 114,049,689.20/10,924.96
  6. Step 6: Final answer
    x = 10,439.37

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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.