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Finding the Fourth Proportional to 22,517, 33,775.50 and 6,101

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Solution

The fourth proportional to 22,517, 33,775.50 and 6,101 is: 9,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517 : 33,775.50 = 6,101 : x
  2. Step 2: Convert to fraction form
    22,517/33,775.50 = 6,101/x
  3. Step 3: Cross multiply
    22,517x = 33,775.50 × 6,101
  4. Step 4: Simplify right side
    22,517x = 206,064,325.50
  5. Step 5: Solve for x
    x = 206,064,325.50/22,517
  6. Step 6: Final answer
    x = 9,151.50

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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.