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Finding the Fourth Proportional to 7,198.38, 9,934.74 and 4,366.86

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Solution

The fourth proportional to 7,198.38, 9,934.74 and 4,366.86 is: 6,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.38 : 9,934.74 = 4,366.86 : x
  2. Step 2: Convert to fraction form
    7,198.38/9,934.74 = 4,366.86/x
  3. Step 3: Cross multiply
    7,198.38x = 9,934.74 × 4,366.86
  4. Step 4: Simplify right side
    7,198.38x = 43,383,618.72
  5. Step 5: Solve for x
    x = 43,383,618.72/7,198.38
  6. Step 6: Final answer
    x = 6,026.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.