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Finding the Fourth Proportional to 20,251.20, 30,376.80 and 6,400.20

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Solution

The fourth proportional to 20,251.20, 30,376.80 and 6,400.20 is: 9,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.20 : 30,376.80 = 6,400.20 : x
  2. Step 2: Convert to fraction form
    20,251.20/30,376.80 = 6,400.20/x
  3. Step 3: Cross multiply
    20,251.20x = 30,376.80 × 6,400.20
  4. Step 4: Simplify right side
    20,251.20x = 194,417,595.36
  5. Step 5: Solve for x
    x = 194,417,595.36/20,251.20
  6. Step 6: Final answer
    x = 9,600.30

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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.