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Finding the Fourth Proportional to 6,589.80, 9,878.34 and 2,204.82

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Solution

The fourth proportional to 6,589.80, 9,878.34 and 2,204.82 is: 3,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.80 : 9,878.34 = 2,204.82 : x
  2. Step 2: Convert to fraction form
    6,589.80/9,878.34 = 2,204.82/x
  3. Step 3: Cross multiply
    6,589.80x = 9,878.34 × 2,204.82
  4. Step 4: Simplify right side
    6,589.80x = 21,779,961.60
  5. Step 5: Solve for x
    x = 21,779,961.60/6,589.80
  6. Step 6: Final answer
    x = 3,305.10

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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.