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Finding the Fourth Proportional to 8,162, 12,205.62 and 6,083.46

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Solution

The fourth proportional to 8,162, 12,205.62 and 6,083.46 is: 9,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162 : 12,205.62 = 6,083.46 : x
  2. Step 2: Convert to fraction form
    8,162/12,205.62 = 6,083.46/x
  3. Step 3: Cross multiply
    8,162x = 12,205.62 × 6,083.46
  4. Step 4: Simplify right side
    8,162x = 74,252,401.05
  5. Step 5: Solve for x
    x = 74,252,401.05/8,162
  6. Step 6: Final answer
    x = 9,097.33

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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.