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Finding the Fourth Proportional to 3,274.70, 4,912.14 and 966.20

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Solution

The fourth proportional to 3,274.70, 4,912.14 and 966.20 is: 1,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.70 : 4,912.14 = 966.20 : x
  2. Step 2: Convert to fraction form
    3,274.70/4,912.14 = 966.20/x
  3. Step 3: Cross multiply
    3,274.70x = 4,912.14 × 966.20
  4. Step 4: Simplify right side
    3,274.70x = 4,746,109.67
  5. Step 5: Solve for x
    x = 4,746,109.67/3,274.70
  6. Step 6: Final answer
    x = 1,449.33

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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.