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Finding the Fourth Proportional to 11,588.97, 17,387.82 and 5,351.97

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Solution

The fourth proportional to 11,588.97, 17,387.82 and 5,351.97 is: 8,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.97 : 17,387.82 = 5,351.97 : x
  2. Step 2: Convert to fraction form
    11,588.97/17,387.82 = 5,351.97/x
  3. Step 3: Cross multiply
    11,588.97x = 17,387.82 × 5,351.97
  4. Step 4: Simplify right side
    11,588.97x = 93,059,091.01
  5. Step 5: Solve for x
    x = 93,059,091.01/11,588.97
  6. Step 6: Final answer
    x = 8,029.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.