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Finding the Fourth Proportional to 22,838, 34,257.04 and 6,422

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Solution

The fourth proportional to 22,838, 34,257.04 and 6,422 is: 9,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838 : 34,257.04 = 6,422 : x
  2. Step 2: Convert to fraction form
    22,838/34,257.04 = 6,422/x
  3. Step 3: Cross multiply
    22,838x = 34,257.04 × 6,422
  4. Step 4: Simplify right side
    22,838x = 219,998,710.88
  5. Step 5: Solve for x
    x = 219,998,710.88/22,838
  6. Step 6: Final answer
    x = 9,633.01

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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.