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Finding the Fourth Proportional to 8,199.83, 12,299.71 and 3,202.71

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Solution

The fourth proportional to 8,199.83, 12,299.71 and 3,202.71 is: 4,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.83 : 12,299.71 = 3,202.71 : x
  2. Step 2: Convert to fraction form
    8,199.83/12,299.71 = 3,202.71/x
  3. Step 3: Cross multiply
    8,199.83x = 12,299.71 × 3,202.71
  4. Step 4: Simplify right side
    8,199.83x = 39,392,388.20
  5. Step 5: Solve for x
    x = 39,392,388.20/8,199.83
  6. Step 6: Final answer
    x = 4,804.05

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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.