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Finding the Fourth Proportional to 6,456.98, 9,676.96 and 2,559.26

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Solution

The fourth proportional to 6,456.98, 9,676.96 and 2,559.26 is: 3,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.98 : 9,676.96 = 2,559.26 : x
  2. Step 2: Convert to fraction form
    6,456.98/9,676.96 = 2,559.26/x
  3. Step 3: Cross multiply
    6,456.98x = 9,676.96 × 2,559.26
  4. Step 4: Simplify right side
    6,456.98x = 24,765,856.65
  5. Step 5: Solve for x
    x = 24,765,856.65/6,456.98
  6. Step 6: Final answer
    x = 3,835.52

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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.