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Finding the Fourth Proportional to 4,797.64, 7,197.30 and 2,200.84

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Solution

The fourth proportional to 4,797.64, 7,197.30 and 2,200.84 is: 3,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.64 : 7,197.30 = 2,200.84 : x
  2. Step 2: Convert to fraction form
    4,797.64/7,197.30 = 2,200.84/x
  3. Step 3: Cross multiply
    4,797.64x = 7,197.30 × 2,200.84
  4. Step 4: Simplify right side
    4,797.64x = 15,840,105.73
  5. Step 5: Solve for x
    x = 15,840,105.73/4,797.64
  6. Step 6: Final answer
    x = 3,301.65

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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.