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Finding the Fourth Proportional to 12,757.50, 19,122.58 and 6,169.16

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Solution

The fourth proportional to 12,757.50, 19,122.58 and 6,169.16 is: 9,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.50 : 19,122.58 = 6,169.16 : x
  2. Step 2: Convert to fraction form
    12,757.50/19,122.58 = 6,169.16/x
  3. Step 3: Cross multiply
    12,757.50x = 19,122.58 × 6,169.16
  4. Step 4: Simplify right side
    12,757.50x = 117,970,311.15
  5. Step 5: Solve for x
    x = 117,970,311.15/12,757.50
  6. Step 6: Final answer
    x = 9,247.13

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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.