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Finding the Fourth Proportional to 3,447.50, 5,171.20 and 850.43

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Solution

The fourth proportional to 3,447.50, 5,171.20 and 850.43 is: 1,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.50 : 5,171.20 = 850.43 : x
  2. Step 2: Convert to fraction form
    3,447.50/5,171.20 = 850.43/x
  3. Step 3: Cross multiply
    3,447.50x = 5,171.20 × 850.43
  4. Step 4: Simplify right side
    3,447.50x = 4,397,754.42
  5. Step 5: Solve for x
    x = 4,397,754.42/3,447.50
  6. Step 6: Final answer
    x = 1,275.64

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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.