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Finding the Fourth Proportional to 7,198.56, 9,934.44 and 4,404.60

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Solution

The fourth proportional to 7,198.56, 9,934.44 and 4,404.60 is: 6,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.56 : 9,934.44 = 4,404.60 : x
  2. Step 2: Convert to fraction form
    7,198.56/9,934.44 = 4,404.60/x
  3. Step 3: Cross multiply
    7,198.56x = 9,934.44 × 4,404.60
  4. Step 4: Simplify right side
    7,198.56x = 43,757,234.42
  5. Step 5: Solve for x
    x = 43,757,234.42/7,198.56
  6. Step 6: Final answer
    x = 6,078.61

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1.5x scale

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.