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Finding the Fourth Proportional to 8,161.54, 12,238.53 and 6,597.70

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Solution

The fourth proportional to 8,161.54, 12,238.53 and 6,597.70 is: 9,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.54 : 12,238.53 = 6,597.70 : x
  2. Step 2: Convert to fraction form
    8,161.54/12,238.53 = 6,597.70/x
  3. Step 3: Cross multiply
    8,161.54x = 12,238.53 × 6,597.70
  4. Step 4: Simplify right side
    8,161.54x = 80,746,149.38
  5. Step 5: Solve for x
    x = 80,746,149.38/8,161.54
  6. Step 6: Final answer
    x = 9,893.49

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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.