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Finding the Fourth Proportional to 22,100, 33,150.32 and 5,684

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Solution

The fourth proportional to 22,100, 33,150.32 and 5,684 is: 8,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100 : 33,150.32 = 5,684 : x
  2. Step 2: Convert to fraction form
    22,100/33,150.32 = 5,684/x
  3. Step 3: Cross multiply
    22,100x = 33,150.32 × 5,684
  4. Step 4: Simplify right side
    22,100x = 188,426,418.88
  5. Step 5: Solve for x
    x = 188,426,418.88/22,100
  6. Step 6: Final answer
    x = 8,526.08

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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.