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Finding the Fourth Proportional to 8,197.38, 12,296.04 and 6,961.71

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Solution

The fourth proportional to 8,197.38, 12,296.04 and 6,961.71 is: 10,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.38 : 12,296.04 = 6,961.71 : x
  2. Step 2: Convert to fraction form
    8,197.38/12,296.04 = 6,961.71/x
  3. Step 3: Cross multiply
    8,197.38x = 12,296.04 × 6,961.71
  4. Step 4: Simplify right side
    8,197.38x = 85,601,464.63
  5. Step 5: Solve for x
    x = 85,601,464.63/8,197.38
  6. Step 6: Final answer
    x = 10,442.54

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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.