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Finding the Fourth Proportional to 8,198.55, 12,290.27 and 3,267

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Solution

The fourth proportional to 8,198.55, 12,290.27 and 3,267 is: 4,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.55 : 12,290.27 = 3,267 : x
  2. Step 2: Convert to fraction form
    8,198.55/12,290.27 = 3,267/x
  3. Step 3: Cross multiply
    8,198.55x = 12,290.27 × 3,267
  4. Step 4: Simplify right side
    8,198.55x = 40,152,295.76
  5. Step 5: Solve for x
    x = 40,152,295.76/8,198.55
  6. Step 6: Final answer
    x = 4,897.49

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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.