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Finding the Fourth Proportional to 5,974.50, 8,961.75 and 2,511.75

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Solution

The fourth proportional to 5,974.50, 8,961.75 and 2,511.75 is: 3,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.50 : 8,961.75 = 2,511.75 : x
  2. Step 2: Convert to fraction form
    5,974.50/8,961.75 = 2,511.75/x
  3. Step 3: Cross multiply
    5,974.50x = 8,961.75 × 2,511.75
  4. Step 4: Simplify right side
    5,974.50x = 22,509,675.56
  5. Step 5: Solve for x
    x = 22,509,675.56/5,974.50
  6. Step 6: Final answer
    x = 3,767.63

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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.