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Finding the Fourth Proportional to 6,942.73, 10,414.14 and 2,838.73

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Solution

The fourth proportional to 6,942.73, 10,414.14 and 2,838.73 is: 4,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.73 : 10,414.14 = 2,838.73 : x
  2. Step 2: Convert to fraction form
    6,942.73/10,414.14 = 2,838.73/x
  3. Step 3: Cross multiply
    6,942.73x = 10,414.14 × 2,838.73
  4. Step 4: Simplify right side
    6,942.73x = 29,562,917.45
  5. Step 5: Solve for x
    x = 29,562,917.45/6,942.73
  6. Step 6: Final answer
    x = 4,258.11

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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.