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Finding the Fourth Proportional to 22,798, 34,198.92 and 6,382

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Solution

The fourth proportional to 22,798, 34,198.92 and 6,382 is: 9,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798 : 34,198.92 = 6,382 : x
  2. Step 2: Convert to fraction form
    22,798/34,198.92 = 6,382/x
  3. Step 3: Cross multiply
    22,798x = 34,198.92 × 6,382
  4. Step 4: Simplify right side
    22,798x = 218,257,507.44
  5. Step 5: Solve for x
    x = 218,257,507.44/22,798
  6. Step 6: Final answer
    x = 9,573.54

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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.