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Finding the Fourth Proportional to 8,156.07, 12,234.11 and 2,000.07

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Solution

The fourth proportional to 8,156.07, 12,234.11 and 2,000.07 is: 3,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.07 : 12,234.11 = 2,000.07 : x
  2. Step 2: Convert to fraction form
    8,156.07/12,234.11 = 2,000.07/x
  3. Step 3: Cross multiply
    8,156.07x = 12,234.11 × 2,000.07
  4. Step 4: Simplify right side
    8,156.07x = 24,469,066.39
  5. Step 5: Solve for x
    x = 24,469,066.39/8,156.07
  6. Step 6: Final answer
    x = 3,000.11

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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.