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Finding the Fourth Proportional to 22,515, 33,772.50 and 6,099

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Solution

The fourth proportional to 22,515, 33,772.50 and 6,099 is: 9,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515 : 33,772.50 = 6,099 : x
  2. Step 2: Convert to fraction form
    22,515/33,772.50 = 6,099/x
  3. Step 3: Cross multiply
    22,515x = 33,772.50 × 6,099
  4. Step 4: Simplify right side
    22,515x = 205,978,477.50
  5. Step 5: Solve for x
    x = 205,978,477.50/22,515
  6. Step 6: Final answer
    x = 9,148.50

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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.