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Finding the Fourth Proportional to 20,451.60, 30,693.60 and 7,977.60

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Solution

The fourth proportional to 20,451.60, 30,693.60 and 7,977.60 is: 11,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.60 : 30,693.60 = 7,977.60 : x
  2. Step 2: Convert to fraction form
    20,451.60/30,693.60 = 7,977.60/x
  3. Step 3: Cross multiply
    20,451.60x = 30,693.60 × 7,977.60
  4. Step 4: Simplify right side
    20,451.60x = 244,861,263.36
  5. Step 5: Solve for x
    x = 244,861,263.36/20,451.60
  6. Step 6: Final answer
    x = 11,972.72

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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.