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Finding the Fourth Proportional to 22,587, 33,880.62 and 6,171

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Solution

The fourth proportional to 22,587, 33,880.62 and 6,171 is: 9,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,587 : 33,880.62 = 6,171 : x
  2. Step 2: Convert to fraction form
    22,587/33,880.62 = 6,171/x
  3. Step 3: Cross multiply
    22,587x = 33,880.62 × 6,171
  4. Step 4: Simplify right side
    22,587x = 209,077,306.02
  5. Step 5: Solve for x
    x = 209,077,306.02/22,587
  6. Step 6: Final answer
    x = 9,256.53

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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.