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Finding the Fourth Proportional to 11,543.97, 15,930.99 and 7,067.64

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Solution

The fourth proportional to 11,543.97, 15,930.99 and 7,067.64 is: 9,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.97 : 15,930.99 = 7,067.64 : x
  2. Step 2: Convert to fraction form
    11,543.97/15,930.99 = 7,067.64/x
  3. Step 3: Cross multiply
    11,543.97x = 15,930.99 × 7,067.64
  4. Step 4: Simplify right side
    11,543.97x = 112,594,502.16
  5. Step 5: Solve for x
    x = 112,594,502.16/11,543.97
  6. Step 6: Final answer
    x = 9,753.53

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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.