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Finding the Fourth Proportional to 12,793.16, 19,161.97 and 6,205.50

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Solution

The fourth proportional to 12,793.16, 19,161.97 and 6,205.50 is: 9,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.16 : 19,161.97 = 6,205.50 : x
  2. Step 2: Convert to fraction form
    12,793.16/19,161.97 = 6,205.50/x
  3. Step 3: Cross multiply
    12,793.16x = 19,161.97 × 6,205.50
  4. Step 4: Simplify right side
    12,793.16x = 118,909,589.32
  5. Step 5: Solve for x
    x = 118,909,589.32/12,793.16
  6. Step 6: Final answer
    x = 9,294.78

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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.