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Finding the Fourth Proportional to 22,789, 34,183.74 and 6,373

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Solution

The fourth proportional to 22,789, 34,183.74 and 6,373 is: 9,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,789 : 34,183.74 = 6,373 : x
  2. Step 2: Convert to fraction form
    22,789/34,183.74 = 6,373/x
  3. Step 3: Cross multiply
    22,789x = 34,183.74 × 6,373
  4. Step 4: Simplify right side
    22,789x = 217,852,975.02
  5. Step 5: Solve for x
    x = 217,852,975.02/22,789
  6. Step 6: Final answer
    x = 9,559.57

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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.