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Finding the Fourth Proportional to 7,751.75, 11,627.64 and 3,589.49

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Solution

The fourth proportional to 7,751.75, 11,627.64 and 3,589.49 is: 5,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.75 : 11,627.64 = 3,589.49 : x
  2. Step 2: Convert to fraction form
    7,751.75/11,627.64 = 3,589.49/x
  3. Step 3: Cross multiply
    7,751.75x = 11,627.64 × 3,589.49
  4. Step 4: Simplify right side
    7,751.75x = 41,737,279.56
  5. Step 5: Solve for x
    x = 41,737,279.56/7,751.75
  6. Step 6: Final answer
    x = 5,384.24

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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.