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Finding the Fourth Proportional to 22,491, 33,736.50 and 6,075

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Solution

The fourth proportional to 22,491, 33,736.50 and 6,075 is: 9,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491 : 33,736.50 = 6,075 : x
  2. Step 2: Convert to fraction form
    22,491/33,736.50 = 6,075/x
  3. Step 3: Cross multiply
    22,491x = 33,736.50 × 6,075
  4. Step 4: Simplify right side
    22,491x = 204,949,237.50
  5. Step 5: Solve for x
    x = 204,949,237.50/22,491
  6. Step 6: Final answer
    x = 9,112.50

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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.