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Finding the Fourth Proportional to 3,158.38, 4,737.72 and 967.12

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Solution

The fourth proportional to 3,158.38, 4,737.72 and 967.12 is: 1,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.38 : 4,737.72 = 967.12 : x
  2. Step 2: Convert to fraction form
    3,158.38/4,737.72 = 967.12/x
  3. Step 3: Cross multiply
    3,158.38x = 4,737.72 × 967.12
  4. Step 4: Simplify right side
    3,158.38x = 4,581,943.77
  5. Step 5: Solve for x
    x = 4,581,943.77/3,158.38
  6. Step 6: Final answer
    x = 1,450.73

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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.