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Finding the Fourth Proportional to 3,274.68, 4,912.74 and 966.36

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Solution

The fourth proportional to 3,274.68, 4,912.74 and 966.36 is: 1,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.68 : 4,912.74 = 966.36 : x
  2. Step 2: Convert to fraction form
    3,274.68/4,912.74 = 966.36/x
  3. Step 3: Cross multiply
    3,274.68x = 4,912.74 × 966.36
  4. Step 4: Simplify right side
    3,274.68x = 4,747,475.43
  5. Step 5: Solve for x
    x = 4,747,475.43/3,274.68
  6. Step 6: Final answer
    x = 1,449.75

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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.