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Finding the Fourth Proportional to 8,189.63, 12,286.23 and 2,995.50

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Solution

The fourth proportional to 8,189.63, 12,286.23 and 2,995.50 is: 4,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.63 : 12,286.23 = 2,995.50 : x
  2. Step 2: Convert to fraction form
    8,189.63/12,286.23 = 2,995.50/x
  3. Step 3: Cross multiply
    8,189.63x = 12,286.23 × 2,995.50
  4. Step 4: Simplify right side
    8,189.63x = 36,803,401.97
  5. Step 5: Solve for x
    x = 36,803,401.97/8,189.63
  6. Step 6: Final answer
    x = 4,493.90

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Double scale
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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.