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Finding the Fourth Proportional to 8,202.68, 12,303.41 and 3,273.42

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Solution

The fourth proportional to 8,202.68, 12,303.41 and 3,273.42 is: 4,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.68 : 12,303.41 = 3,273.42 : x
  2. Step 2: Convert to fraction form
    8,202.68/12,303.41 = 3,273.42/x
  3. Step 3: Cross multiply
    8,202.68x = 12,303.41 × 3,273.42
  4. Step 4: Simplify right side
    8,202.68x = 40,274,258.13
  5. Step 5: Solve for x
    x = 40,274,258.13/8,202.68
  6. Step 6: Final answer
    x = 4,909.89

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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.