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Finding the Fourth Proportional to 6,512.75, 9,763.14 and 2,351.78

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Solution

The fourth proportional to 6,512.75, 9,763.14 and 2,351.78 is: 3,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.75 : 9,763.14 = 2,351.78 : x
  2. Step 2: Convert to fraction form
    6,512.75/9,763.14 = 2,351.78/x
  3. Step 3: Cross multiply
    6,512.75x = 9,763.14 × 2,351.78
  4. Step 4: Simplify right side
    6,512.75x = 22,960,757.39
  5. Step 5: Solve for x
    x = 22,960,757.39/6,512.75
  6. Step 6: Final answer
    x = 3,525.51

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1.5x scale

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.