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Finding the Fourth Proportional to 7,650.50, 10,563.91 and 6,234.39

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Solution

The fourth proportional to 7,650.50, 10,563.91 and 6,234.39 is: 8,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.50 : 10,563.91 = 6,234.39 : x
  2. Step 2: Convert to fraction form
    7,650.50/10,563.91 = 6,234.39/x
  3. Step 3: Cross multiply
    7,650.50x = 10,563.91 × 6,234.39
  4. Step 4: Simplify right side
    7,650.50x = 65,859,519.28
  5. Step 5: Solve for x
    x = 65,859,519.28/7,650.50
  6. Step 6: Final answer
    x = 8,608.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.