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Finding the Fourth Proportional to 7,198.58, 10,797.78 and 2,819.12

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Solution

The fourth proportional to 7,198.58, 10,797.78 and 2,819.12 is: 4,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.58 : 10,797.78 = 2,819.12 : x
  2. Step 2: Convert to fraction form
    7,198.58/10,797.78 = 2,819.12/x
  3. Step 3: Cross multiply
    7,198.58x = 10,797.78 × 2,819.12
  4. Step 4: Simplify right side
    7,198.58x = 30,440,237.55
  5. Step 5: Solve for x
    x = 30,440,237.55/7,198.58
  6. Step 6: Final answer
    x = 4,228.64

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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.