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Finding the Fourth Proportional to 6,358.75, 9,540.75 and 3,433.61

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Solution

The fourth proportional to 6,358.75, 9,540.75 and 3,433.61 is: 5,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.75 : 9,540.75 = 3,433.61 : x
  2. Step 2: Convert to fraction form
    6,358.75/9,540.75 = 3,433.61/x
  3. Step 3: Cross multiply
    6,358.75x = 9,540.75 × 3,433.61
  4. Step 4: Simplify right side
    6,358.75x = 32,759,214.61
  5. Step 5: Solve for x
    x = 32,759,214.61/6,358.75
  6. Step 6: Final answer
    x = 5,151.83

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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.