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Finding the Fourth Proportional to 8,203.40, 12,305.10 and 3,273.80

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Solution

The fourth proportional to 8,203.40, 12,305.10 and 3,273.80 is: 4,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.40 : 12,305.10 = 3,273.80 : x
  2. Step 2: Convert to fraction form
    8,203.40/12,305.10 = 3,273.80/x
  3. Step 3: Cross multiply
    8,203.40x = 12,305.10 × 3,273.80
  4. Step 4: Simplify right side
    8,203.40x = 40,284,436.38
  5. Step 5: Solve for x
    x = 40,284,436.38/8,203.40
  6. Step 6: Final answer
    x = 4,910.70

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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.