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Finding the Fourth Proportional to 6,255.78, 9,359.78 and 5,469.98

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Solution

The fourth proportional to 6,255.78, 9,359.78 and 5,469.98 is: 8,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255.78 : 9,359.78 = 5,469.98 : x
  2. Step 2: Convert to fraction form
    6,255.78/9,359.78 = 5,469.98/x
  3. Step 3: Cross multiply
    6,255.78x = 9,359.78 × 5,469.98
  4. Step 4: Simplify right side
    6,255.78x = 51,197,735.26
  5. Step 5: Solve for x
    x = 51,197,735.26/6,255.78
  6. Step 6: Final answer
    x = 8,184.07

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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.