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Finding the Fourth Proportional to 3,609.75, 5,414.63 and 873.75

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Solution

The fourth proportional to 3,609.75, 5,414.63 and 873.75 is: 1,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.75 : 5,414.63 = 873.75 : x
  2. Step 2: Convert to fraction form
    3,609.75/5,414.63 = 873.75/x
  3. Step 3: Cross multiply
    3,609.75x = 5,414.63 × 873.75
  4. Step 4: Simplify right side
    3,609.75x = 4,731,028.59
  5. Step 5: Solve for x
    x = 4,731,028.59/3,609.75
  6. Step 6: Final answer
    x = 1,310.63

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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.