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Finding the Fourth Proportional to 7,198.44, 9,934.56 and 4,214.10

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Solution

The fourth proportional to 7,198.44, 9,934.56 and 4,214.10 is: 5,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.44 : 9,934.56 = 4,214.10 : x
  2. Step 2: Convert to fraction form
    7,198.44/9,934.56 = 4,214.10/x
  3. Step 3: Cross multiply
    7,198.44x = 9,934.56 × 4,214.10
  4. Step 4: Simplify right side
    7,198.44x = 41,865,229.30
  5. Step 5: Solve for x
    x = 41,865,229.30/7,198.44
  6. Step 6: Final answer
    x = 5,815.88

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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.