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Finding the Fourth Proportional to 11,894.80, 17,842.49 and 3,997.43

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Solution

The fourth proportional to 11,894.80, 17,842.49 and 3,997.43 is: 5,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.80 : 17,842.49 = 3,997.43 : x
  2. Step 2: Convert to fraction form
    11,894.80/17,842.49 = 3,997.43/x
  3. Step 3: Cross multiply
    11,894.80x = 17,842.49 × 3,997.43
  4. Step 4: Simplify right side
    11,894.80x = 71,324,040.21
  5. Step 5: Solve for x
    x = 71,324,040.21/11,894.80
  6. Step 6: Final answer
    x = 5,996.24

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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.