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Finding the Fourth Proportional to 8,229.66, 12,326.66 and 5,110.41

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Solution

The fourth proportional to 8,229.66, 12,326.66 and 5,110.41 is: 7,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.66 : 12,326.66 = 5,110.41 : x
  2. Step 2: Convert to fraction form
    8,229.66/12,326.66 = 5,110.41/x
  3. Step 3: Cross multiply
    8,229.66x = 12,326.66 × 5,110.41
  4. Step 4: Simplify right side
    8,229.66x = 62,994,286.53
  5. Step 5: Solve for x
    x = 62,994,286.53/8,229.66
  6. Step 6: Final answer
    x = 7,654.54

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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.