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Finding the Fourth Proportional to 6,512.92, 9,771 and 2,564.44

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Solution

The fourth proportional to 6,512.92, 9,771 and 2,564.44 is: 3,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.92 : 9,771 = 2,564.44 : x
  2. Step 2: Convert to fraction form
    6,512.92/9,771 = 2,564.44/x
  3. Step 3: Cross multiply
    6,512.92x = 9,771 × 2,564.44
  4. Step 4: Simplify right side
    6,512.92x = 25,057,143.24
  5. Step 5: Solve for x
    x = 25,057,143.24/6,512.92
  6. Step 6: Final answer
    x = 3,847.30

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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.