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Finding the Fourth Proportional to 22,200, 33,300 and 5,784

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Solution

The fourth proportional to 22,200, 33,300 and 5,784 is: 8,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200 : 33,300 = 5,784 : x
  2. Step 2: Convert to fraction form
    22,200/33,300 = 5,784/x
  3. Step 3: Cross multiply
    22,200x = 33,300 × 5,784
  4. Step 4: Simplify right side
    22,200x = 192,607,200
  5. Step 5: Solve for x
    x = 192,607,200/22,200
  6. Step 6: Final answer
    x = 8,676

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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.