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Finding the Fourth Proportional to 22,510, 33,765 and 6,094

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Solution

The fourth proportional to 22,510, 33,765 and 6,094 is: 9,141

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510 : 33,765 = 6,094 : x
  2. Step 2: Convert to fraction form
    22,510/33,765 = 6,094/x
  3. Step 3: Cross multiply
    22,510x = 33,765 × 6,094
  4. Step 4: Simplify right side
    22,510x = 205,763,910
  5. Step 5: Solve for x
    x = 205,763,910/22,510
  6. Step 6: Final answer
    x = 9,141

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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.