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Finding the Fourth Proportional to 6,500.38, 9,744.09 and 3,208.54

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Solution

The fourth proportional to 6,500.38, 9,744.09 and 3,208.54 is: 4,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.38 : 9,744.09 = 3,208.54 : x
  2. Step 2: Convert to fraction form
    6,500.38/9,744.09 = 3,208.54/x
  3. Step 3: Cross multiply
    6,500.38x = 9,744.09 × 3,208.54
  4. Step 4: Simplify right side
    6,500.38x = 31,264,302.53
  5. Step 5: Solve for x
    x = 31,264,302.53/6,500.38
  6. Step 6: Final answer
    x = 4,809.61

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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.