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Finding the Fourth Proportional to 7,195.80, 10,766.97 and 6,314.18

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Solution

The fourth proportional to 7,195.80, 10,766.97 and 6,314.18 is: 9,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.80 : 10,766.97 = 6,314.18 : x
  2. Step 2: Convert to fraction form
    7,195.80/10,766.97 = 6,314.18/x
  3. Step 3: Cross multiply
    7,195.80x = 10,766.97 × 6,314.18
  4. Step 4: Simplify right side
    7,195.80x = 67,984,532.80
  5. Step 5: Solve for x
    x = 67,984,532.80/7,195.80
  6. Step 6: Final answer
    x = 9,447.81

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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.