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Finding the Fourth Proportional to 6,584.37, 9,878.12 and 1,967.25

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Solution

The fourth proportional to 6,584.37, 9,878.12 and 1,967.25 is: 2,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.37 : 9,878.12 = 1,967.25 : x
  2. Step 2: Convert to fraction form
    6,584.37/9,878.12 = 1,967.25/x
  3. Step 3: Cross multiply
    6,584.37x = 9,878.12 × 1,967.25
  4. Step 4: Simplify right side
    6,584.37x = 19,432,721.73
  5. Step 5: Solve for x
    x = 19,432,721.73/6,584.37
  6. Step 6: Final answer
    x = 2,951.34

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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.