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Finding the Fourth Proportional to 11,993.27, 17,997.80 and 4,201.88

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Solution

The fourth proportional to 11,993.27, 17,997.80 and 4,201.88 is: 6,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.27 : 17,997.80 = 4,201.88 : x
  2. Step 2: Convert to fraction form
    11,993.27/17,997.80 = 4,201.88/x
  3. Step 3: Cross multiply
    11,993.27x = 17,997.80 × 4,201.88
  4. Step 4: Simplify right side
    11,993.27x = 75,624,484.87
  5. Step 5: Solve for x
    x = 75,624,484.87/11,993.27
  6. Step 6: Final answer
    x = 6,305.58

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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.