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Finding the Fourth Proportional to 22,783, 34,174.50 and 6,367

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Solution

The fourth proportional to 22,783, 34,174.50 and 6,367 is: 9,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783 : 34,174.50 = 6,367 : x
  2. Step 2: Convert to fraction form
    22,783/34,174.50 = 6,367/x
  3. Step 3: Cross multiply
    22,783x = 34,174.50 × 6,367
  4. Step 4: Simplify right side
    22,783x = 217,589,041.50
  5. Step 5: Solve for x
    x = 217,589,041.50/22,783
  6. Step 6: Final answer
    x = 9,550.50

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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.