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Finding the Fourth Proportional to 23,187, 34,787.22 and 6,771

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Solution

The fourth proportional to 23,187, 34,787.22 and 6,771 is: 10,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187 : 34,787.22 = 6,771 : x
  2. Step 2: Convert to fraction form
    23,187/34,787.22 = 6,771/x
  3. Step 3: Cross multiply
    23,187x = 34,787.22 × 6,771
  4. Step 4: Simplify right side
    23,187x = 235,544,266.62
  5. Step 5: Solve for x
    x = 235,544,266.62/23,187
  6. Step 6: Final answer
    x = 10,158.46

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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.