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Finding the Fourth Proportional to 5,486.50, 8,229.75 and 1,382.50

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Solution

The fourth proportional to 5,486.50, 8,229.75 and 1,382.50 is: 2,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.50 : 8,229.75 = 1,382.50 : x
  2. Step 2: Convert to fraction form
    5,486.50/8,229.75 = 1,382.50/x
  3. Step 3: Cross multiply
    5,486.50x = 8,229.75 × 1,382.50
  4. Step 4: Simplify right side
    5,486.50x = 11,377,629.38
  5. Step 5: Solve for x
    x = 11,377,629.38/5,486.50
  6. Step 6: Final answer
    x = 2,073.75

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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.