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Finding the Fourth Proportional to 13,825.90, 20,738.84 and 4,591.90

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Solution

The fourth proportional to 13,825.90, 20,738.84 and 4,591.90 is: 6,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.90 : 20,738.84 = 4,591.90 : x
  2. Step 2: Convert to fraction form
    13,825.90/20,738.84 = 4,591.90/x
  3. Step 3: Cross multiply
    13,825.90x = 20,738.84 × 4,591.90
  4. Step 4: Simplify right side
    13,825.90x = 95,230,679.40
  5. Step 5: Solve for x
    x = 95,230,679.40/13,825.90
  6. Step 6: Final answer
    x = 6,887.85

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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.