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Finding the Fourth Proportional to 22,422, 33,633 and 6,006

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Solution

The fourth proportional to 22,422, 33,633 and 6,006 is: 9,009

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422 : 33,633 = 6,006 : x
  2. Step 2: Convert to fraction form
    22,422/33,633 = 6,006/x
  3. Step 3: Cross multiply
    22,422x = 33,633 × 6,006
  4. Step 4: Simplify right side
    22,422x = 201,999,798
  5. Step 5: Solve for x
    x = 201,999,798/22,422
  6. Step 6: Final answer
    x = 9,009

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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.