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Finding the Fourth Proportional to 6,650.54, 9,976.10 and 2,489.46

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Solution

The fourth proportional to 6,650.54, 9,976.10 and 2,489.46 is: 3,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.54 : 9,976.10 = 2,489.46 : x
  2. Step 2: Convert to fraction form
    6,650.54/9,976.10 = 2,489.46/x
  3. Step 3: Cross multiply
    6,650.54x = 9,976.10 × 2,489.46
  4. Step 4: Simplify right side
    6,650.54x = 24,835,089.46
  5. Step 5: Solve for x
    x = 24,835,089.46/6,650.54
  6. Step 6: Final answer
    x = 3,734.30

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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.