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Finding the Fourth Proportional to 8,194.60, 12,294.60 and 2,648.80

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Solution

The fourth proportional to 8,194.60, 12,294.60 and 2,648.80 is: 3,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.60 : 12,294.60 = 2,648.80 : x
  2. Step 2: Convert to fraction form
    8,194.60/12,294.60 = 2,648.80/x
  3. Step 3: Cross multiply
    8,194.60x = 12,294.60 × 2,648.80
  4. Step 4: Simplify right side
    8,194.60x = 32,565,936.48
  5. Step 5: Solve for x
    x = 32,565,936.48/8,194.60
  6. Step 6: Final answer
    x = 3,974.07

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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.