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Finding the Fourth Proportional to 12,397.92, 17,083.92 and 11,523.04

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Solution

The fourth proportional to 12,397.92, 17,083.92 and 11,523.04 is: 15,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.92 : 17,083.92 = 11,523.04 : x
  2. Step 2: Convert to fraction form
    12,397.92/17,083.92 = 11,523.04/x
  3. Step 3: Cross multiply
    12,397.92x = 17,083.92 × 11,523.04
  4. Step 4: Simplify right side
    12,397.92x = 196,858,693.52
  5. Step 5: Solve for x
    x = 196,858,693.52/12,397.92
  6. Step 6: Final answer
    x = 15,878.36

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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.