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Finding the Fourth Proportional to 8,096.00, 12,087.21 and 6,850.79

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Solution

The fourth proportional to 8,096.00, 12,087.21 and 6,850.79 is: 10,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.00 : 12,087.21 = 6,850.79 : x
  2. Step 2: Convert to fraction form
    8,096.00/12,087.21 = 6,850.79/x
  3. Step 3: Cross multiply
    8,096.00x = 12,087.21 × 6,850.79
  4. Step 4: Simplify right side
    8,096.00x = 82,806,876.96
  5. Step 5: Solve for x
    x = 82,806,876.96/8,096.00
  6. Step 6: Final answer
    x = 10,228.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.