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Finding the Fourth Proportional to 6,169.86, 9,257.49 and 3,982.86

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Solution

The fourth proportional to 6,169.86, 9,257.49 and 3,982.86 is: 5,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.86 : 9,257.49 = 3,982.86 : x
  2. Step 2: Convert to fraction form
    6,169.86/9,257.49 = 3,982.86/x
  3. Step 3: Cross multiply
    6,169.86x = 9,257.49 × 3,982.86
  4. Step 4: Simplify right side
    6,169.86x = 36,871,286.62
  5. Step 5: Solve for x
    x = 36,871,286.62/6,169.86
  6. Step 6: Final answer
    x = 5,976.03

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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.