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Finding the Fourth Proportional to 8,197.50, 12,297.45 and 2,649

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Solution

The fourth proportional to 8,197.50, 12,297.45 and 2,649 is: 3,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.50 : 12,297.45 = 2,649 : x
  2. Step 2: Convert to fraction form
    8,197.50/12,297.45 = 2,649/x
  3. Step 3: Cross multiply
    8,197.50x = 12,297.45 × 2,649
  4. Step 4: Simplify right side
    8,197.50x = 32,575,945.05
  5. Step 5: Solve for x
    x = 32,575,945.05/8,197.50
  6. Step 6: Final answer
    x = 3,973.89

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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.