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Finding the Fourth Proportional to 6,584, 9,874.79 and 1,902.85

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Solution

The fourth proportional to 6,584, 9,874.79 and 1,902.85 is: 2,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 9,874.79 = 1,902.85 : x
  2. Step 2: Convert to fraction form
    6,584/9,874.79 = 1,902.85/x
  3. Step 3: Cross multiply
    6,584x = 9,874.79 × 1,902.85
  4. Step 4: Simplify right side
    6,584x = 18,790,185.26
  5. Step 5: Solve for x
    x = 18,790,185.26/6,584
  6. Step 6: Final answer
    x = 2,853.92

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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.