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Finding the Fourth Proportional to 11,843.64, 17,765.46 and 6,001.92

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Solution

The fourth proportional to 11,843.64, 17,765.46 and 6,001.92 is: 9,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.64 : 17,765.46 = 6,001.92 : x
  2. Step 2: Convert to fraction form
    11,843.64/17,765.46 = 6,001.92/x
  3. Step 3: Cross multiply
    11,843.64x = 17,765.46 × 6,001.92
  4. Step 4: Simplify right side
    11,843.64x = 106,626,869.68
  5. Step 5: Solve for x
    x = 106,626,869.68/11,843.64
  6. Step 6: Final answer
    x = 9,002.88

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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.