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Finding the Fourth Proportional to 13,427.60, 20,134.20 and 5,627.60

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Solution

The fourth proportional to 13,427.60, 20,134.20 and 5,627.60 is: 8,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.60 : 20,134.20 = 5,627.60 : x
  2. Step 2: Convert to fraction form
    13,427.60/20,134.20 = 5,627.60/x
  3. Step 3: Cross multiply
    13,427.60x = 20,134.20 × 5,627.60
  4. Step 4: Simplify right side
    13,427.60x = 113,307,223.92
  5. Step 5: Solve for x
    x = 113,307,223.92/13,427.60
  6. Step 6: Final answer
    x = 8,438.38

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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.