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Finding the Fourth Proportional to 8,205.73, 12,302.25 and 4,252.66

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Solution

The fourth proportional to 8,205.73, 12,302.25 and 4,252.66 is: 6,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.73 : 12,302.25 = 4,252.66 : x
  2. Step 2: Convert to fraction form
    8,205.73/12,302.25 = 4,252.66/x
  3. Step 3: Cross multiply
    8,205.73x = 12,302.25 × 4,252.66
  4. Step 4: Simplify right side
    8,205.73x = 52,317,239.78
  5. Step 5: Solve for x
    x = 52,317,239.78/8,205.73
  6. Step 6: Final answer
    x = 6,375.70

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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.