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Finding the Fourth Proportional to 22,516, 33,774 and 6,100

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Solution

The fourth proportional to 22,516, 33,774 and 6,100 is: 9,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516 : 33,774 = 6,100 : x
  2. Step 2: Convert to fraction form
    22,516/33,774 = 6,100/x
  3. Step 3: Cross multiply
    22,516x = 33,774 × 6,100
  4. Step 4: Simplify right side
    22,516x = 206,021,400
  5. Step 5: Solve for x
    x = 206,021,400/22,516
  6. Step 6: Final answer
    x = 9,150

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.