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Finding the Fourth Proportional to 8,230.82, 12,346.63 and 2,387.88

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Solution

The fourth proportional to 8,230.82, 12,346.63 and 2,387.88 is: 3,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.82 : 12,346.63 = 2,387.88 : x
  2. Step 2: Convert to fraction form
    8,230.82/12,346.63 = 2,387.88/x
  3. Step 3: Cross multiply
    8,230.82x = 12,346.63 × 2,387.88
  4. Step 4: Simplify right side
    8,230.82x = 29,482,264.87
  5. Step 5: Solve for x
    x = 29,482,264.87/8,230.82
  6. Step 6: Final answer
    x = 3,581.94

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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.