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Finding the Fourth Proportional to 6,502.75, 9,755.13 and 2,119.18

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Solution

The fourth proportional to 6,502.75, 9,755.13 and 2,119.18 is: 3,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.75 : 9,755.13 = 2,119.18 : x
  2. Step 2: Convert to fraction form
    6,502.75/9,755.13 = 2,119.18/x
  3. Step 3: Cross multiply
    6,502.75x = 9,755.13 × 2,119.18
  4. Step 4: Simplify right side
    6,502.75x = 20,672,876.39
  5. Step 5: Solve for x
    x = 20,672,876.39/6,502.75
  6. Step 6: Final answer
    x = 3,179.10

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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.