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Finding the Fourth Proportional to 8,203.83, 12,305.67 and 2,047.83

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Solution

The fourth proportional to 8,203.83, 12,305.67 and 2,047.83 is: 3,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.83 : 12,305.67 = 2,047.83 : x
  2. Step 2: Convert to fraction form
    8,203.83/12,305.67 = 2,047.83/x
  3. Step 3: Cross multiply
    8,203.83x = 12,305.67 × 2,047.83
  4. Step 4: Simplify right side
    8,203.83x = 25,199,920.20
  5. Step 5: Solve for x
    x = 25,199,920.20/8,203.83
  6. Step 6: Final answer
    x = 3,071.73

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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.