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Finding the Fourth Proportional to 22,552, 33,828.12 and 6,136

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Solution

The fourth proportional to 22,552, 33,828.12 and 6,136 is: 9,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552 : 33,828.12 = 6,136 : x
  2. Step 2: Convert to fraction form
    22,552/33,828.12 = 6,136/x
  3. Step 3: Cross multiply
    22,552x = 33,828.12 × 6,136
  4. Step 4: Simplify right side
    22,552x = 207,569,344.32
  5. Step 5: Solve for x
    x = 207,569,344.32/22,552
  6. Step 6: Final answer
    x = 9,204.03

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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.