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Finding the Fourth Proportional to 8,195.60, 12,230.26 and 6,544.40

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Solution

The fourth proportional to 8,195.60, 12,230.26 and 6,544.40 is: 9,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.60 : 12,230.26 = 6,544.40 : x
  2. Step 2: Convert to fraction form
    8,195.60/12,230.26 = 6,544.40/x
  3. Step 3: Cross multiply
    8,195.60x = 12,230.26 × 6,544.40
  4. Step 4: Simplify right side
    8,195.60x = 80,039,713.54
  5. Step 5: Solve for x
    x = 80,039,713.54/8,195.60
  6. Step 6: Final answer
    x = 9,766.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.