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Finding the Fourth Proportional to 6,350.39, 9,504.89 and 5,744.15

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Solution

The fourth proportional to 6,350.39, 9,504.89 and 5,744.15 is: 8,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.39 : 9,504.89 = 5,744.15 : x
  2. Step 2: Convert to fraction form
    6,350.39/9,504.89 = 5,744.15/x
  3. Step 3: Cross multiply
    6,350.39x = 9,504.89 × 5,744.15
  4. Step 4: Simplify right side
    6,350.39x = 54,597,485.17
  5. Step 5: Solve for x
    x = 54,597,485.17/6,350.39
  6. Step 6: Final answer
    x = 8,597.50

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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.