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Finding the Fourth Proportional to 13,873.20, 20,811.60 and 6,856.80

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Solution

The fourth proportional to 13,873.20, 20,811.60 and 6,856.80 is: 10,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.20 : 20,811.60 = 6,856.80 : x
  2. Step 2: Convert to fraction form
    13,873.20/20,811.60 = 6,856.80/x
  3. Step 3: Cross multiply
    13,873.20x = 20,811.60 × 6,856.80
  4. Step 4: Simplify right side
    13,873.20x = 142,700,978.88
  5. Step 5: Solve for x
    x = 142,700,978.88/13,873.20
  6. Step 6: Final answer
    x = 10,286.09

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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.