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Finding the Fourth Proportional to 6,584.88, 9,877.31 and 1,967.88

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Solution

The fourth proportional to 6,584.88, 9,877.31 and 1,967.88 is: 2,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.88 : 9,877.31 = 1,967.88 : x
  2. Step 2: Convert to fraction form
    6,584.88/9,877.31 = 1,967.88/x
  3. Step 3: Cross multiply
    6,584.88x = 9,877.31 × 1,967.88
  4. Step 4: Simplify right side
    6,584.88x = 19,437,360.80
  5. Step 5: Solve for x
    x = 19,437,360.80/6,584.88
  6. Step 6: Final answer
    x = 2,951.82

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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.