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Finding the Fourth Proportional to 6,763.97, 10,142.76 and 3,953.61

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Solution

The fourth proportional to 6,763.97, 10,142.76 and 3,953.61 is: 5,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.97 : 10,142.76 = 3,953.61 : x
  2. Step 2: Convert to fraction form
    6,763.97/10,142.76 = 3,953.61/x
  3. Step 3: Cross multiply
    6,763.97x = 10,142.76 × 3,953.61
  4. Step 4: Simplify right side
    6,763.97x = 40,100,517.36
  5. Step 5: Solve for x
    x = 40,100,517.36/6,763.97
  6. Step 6: Final answer
    x = 5,928.55

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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.