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Finding the Fourth Proportional to 6,452.67, 9,680.37 and 2,755.02

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Solution

The fourth proportional to 6,452.67, 9,680.37 and 2,755.02 is: 4,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.67 : 9,680.37 = 2,755.02 : x
  2. Step 2: Convert to fraction form
    6,452.67/9,680.37 = 2,755.02/x
  3. Step 3: Cross multiply
    6,452.67x = 9,680.37 × 2,755.02
  4. Step 4: Simplify right side
    6,452.67x = 26,669,612.96
  5. Step 5: Solve for x
    x = 26,669,612.96/6,452.67
  6. Step 6: Final answer
    x = 4,133.11

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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.