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Finding the Fourth Proportional to 6,584.52, 9,878.39 and 4,640.52

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Solution

The fourth proportional to 6,584.52, 9,878.39 and 4,640.52 is: 6,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.52 : 9,878.39 = 4,640.52 : x
  2. Step 2: Convert to fraction form
    6,584.52/9,878.39 = 4,640.52/x
  3. Step 3: Cross multiply
    6,584.52x = 9,878.39 × 4,640.52
  4. Step 4: Simplify right side
    6,584.52x = 45,840,843.16
  5. Step 5: Solve for x
    x = 45,840,843.16/6,584.52
  6. Step 6: Final answer
    x = 6,961.91

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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.