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Finding the Fourth Proportional to 5,974.20, 8,974.26 and 5,755.50

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Solution

The fourth proportional to 5,974.20, 8,974.26 and 5,755.50 is: 8,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.20 : 8,974.26 = 5,755.50 : x
  2. Step 2: Convert to fraction form
    5,974.20/8,974.26 = 5,755.50/x
  3. Step 3: Cross multiply
    5,974.20x = 8,974.26 × 5,755.50
  4. Step 4: Simplify right side
    5,974.20x = 51,651,353.43
  5. Step 5: Solve for x
    x = 51,651,353.43/5,974.20
  6. Step 6: Final answer
    x = 8,645.74

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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.