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Finding the Fourth Proportional to 6,816, 10,217.90 and 2,432.82

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Solution

The fourth proportional to 6,816, 10,217.90 and 2,432.82 is: 3,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 10,217.90 = 2,432.82 : x
  2. Step 2: Convert to fraction form
    6,816/10,217.90 = 2,432.82/x
  3. Step 3: Cross multiply
    6,816x = 10,217.90 × 2,432.82
  4. Step 4: Simplify right side
    6,816x = 24,858,311.48
  5. Step 5: Solve for x
    x = 24,858,311.48/6,816
  6. Step 6: Final answer
    x = 3,647.05

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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.