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Finding the Fourth Proportional to 6,797.14, 10,179.30 and 3,866.56

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Solution

The fourth proportional to 6,797.14, 10,179.30 and 3,866.56 is: 5,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.14 : 10,179.30 = 3,866.56 : x
  2. Step 2: Convert to fraction form
    6,797.14/10,179.30 = 3,866.56/x
  3. Step 3: Cross multiply
    6,797.14x = 10,179.30 × 3,866.56
  4. Step 4: Simplify right side
    6,797.14x = 39,358,823.31
  5. Step 5: Solve for x
    x = 39,358,823.31/6,797.14
  6. Step 6: Final answer
    x = 5,790.50

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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.