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Finding the Fourth Proportional to 5,627.71, 8,441.57 and 1,467.71

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Solution

The fourth proportional to 5,627.71, 8,441.57 and 1,467.71 is: 2,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.71 : 8,441.57 = 1,467.71 : x
  2. Step 2: Convert to fraction form
    5,627.71/8,441.57 = 1,467.71/x
  3. Step 3: Cross multiply
    5,627.71x = 8,441.57 × 1,467.71
  4. Step 4: Simplify right side
    5,627.71x = 12,389,776.70
  5. Step 5: Solve for x
    x = 12,389,776.70/5,627.71
  6. Step 6: Final answer
    x = 2,201.57

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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.