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Finding the Fourth Proportional to 7,198.74, 10,797.98 and 2,201.18

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Solution

The fourth proportional to 7,198.74, 10,797.98 and 2,201.18 is: 3,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.74 : 10,797.98 = 2,201.18 : x
  2. Step 2: Convert to fraction form
    7,198.74/10,797.98 = 2,201.18/x
  3. Step 3: Cross multiply
    7,198.74x = 10,797.98 × 2,201.18
  4. Step 4: Simplify right side
    7,198.74x = 23,768,232.62
  5. Step 5: Solve for x
    x = 23,768,232.62/7,198.74
  6. Step 6: Final answer
    x = 3,301.72

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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.