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Finding the Fourth Proportional to 3,158.53, 4,738.02 and 966.97

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Solution

The fourth proportional to 3,158.53, 4,738.02 and 966.97 is: 1,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.53 : 4,738.02 = 966.97 : x
  2. Step 2: Convert to fraction form
    3,158.53/4,738.02 = 966.97/x
  3. Step 3: Cross multiply
    3,158.53x = 4,738.02 × 966.97
  4. Step 4: Simplify right side
    3,158.53x = 4,581,516.61
  5. Step 5: Solve for x
    x = 4,581,516.61/3,158.53
  6. Step 6: Final answer
    x = 1,450.52

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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.