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Finding the Fourth Proportional to 4,493.87, 6,737.68 and 1,993.69

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Solution

The fourth proportional to 4,493.87, 6,737.68 and 1,993.69 is: 2,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.87 : 6,737.68 = 1,993.69 : x
  2. Step 2: Convert to fraction form
    4,493.87/6,737.68 = 1,993.69/x
  3. Step 3: Cross multiply
    4,493.87x = 6,737.68 × 1,993.69
  4. Step 4: Simplify right side
    4,493.87x = 13,432,856.15
  5. Step 5: Solve for x
    x = 13,432,856.15/4,493.87
  6. Step 6: Final answer
    x = 2,989.15

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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.