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Finding the Fourth Proportional to 6,169.32, 9,255.15 and 2,008.98

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Solution

The fourth proportional to 6,169.32, 9,255.15 and 2,008.98 is: 3,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.32 : 9,255.15 = 2,008.98 : x
  2. Step 2: Convert to fraction form
    6,169.32/9,255.15 = 2,008.98/x
  3. Step 3: Cross multiply
    6,169.32x = 9,255.15 × 2,008.98
  4. Step 4: Simplify right side
    6,169.32x = 18,593,411.25
  5. Step 5: Solve for x
    x = 18,593,411.25/6,169.32
  6. Step 6: Final answer
    x = 3,013.85

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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.