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Finding the Fourth Proportional to 4,797.64, 7,197.28 and 2,200.80

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Solution

The fourth proportional to 4,797.64, 7,197.28 and 2,200.80 is: 3,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.64 : 7,197.28 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    4,797.64/7,197.28 = 2,200.80/x
  3. Step 3: Cross multiply
    4,797.64x = 7,197.28 × 2,200.80
  4. Step 4: Simplify right side
    4,797.64x = 15,839,773.82
  5. Step 5: Solve for x
    x = 15,839,773.82/4,797.64
  6. Step 6: Final answer
    x = 3,301.58

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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.