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Finding the Fourth Proportional to 8,073.13, 12,109.70 and 2,230.20

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Solution

The fourth proportional to 8,073.13, 12,109.70 and 2,230.20 is: 3,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.13 : 12,109.70 = 2,230.20 : x
  2. Step 2: Convert to fraction form
    8,073.13/12,109.70 = 2,230.20/x
  3. Step 3: Cross multiply
    8,073.13x = 12,109.70 × 2,230.20
  4. Step 4: Simplify right side
    8,073.13x = 27,007,052.94
  5. Step 5: Solve for x
    x = 27,007,052.94/8,073.13
  6. Step 6: Final answer
    x = 3,345.30

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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.