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Finding the Fourth Proportional to 6,500.64, 9,751.36 and 2,604.54

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Solution

The fourth proportional to 6,500.64, 9,751.36 and 2,604.54 is: 3,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.64 : 9,751.36 = 2,604.54 : x
  2. Step 2: Convert to fraction form
    6,500.64/9,751.36 = 2,604.54/x
  3. Step 3: Cross multiply
    6,500.64x = 9,751.36 × 2,604.54
  4. Step 4: Simplify right side
    6,500.64x = 25,397,807.17
  5. Step 5: Solve for x
    x = 25,397,807.17/6,500.64
  6. Step 6: Final answer
    x = 3,906.97

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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.