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Finding the Fourth Proportional to 6,579.83, 9,871.37 and 4,635.83

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Solution

The fourth proportional to 6,579.83, 9,871.37 and 4,635.83 is: 6,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.83 : 9,871.37 = 4,635.83 : x
  2. Step 2: Convert to fraction form
    6,579.83/9,871.37 = 4,635.83/x
  3. Step 3: Cross multiply
    6,579.83x = 9,871.37 × 4,635.83
  4. Step 4: Simplify right side
    6,579.83x = 45,761,920.65
  5. Step 5: Solve for x
    x = 45,761,920.65/6,579.83
  6. Step 6: Final answer
    x = 6,954.88

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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.