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Finding the Fourth Proportional to 22,796, 34,195.92 and 6,380

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Solution

The fourth proportional to 22,796, 34,195.92 and 6,380 is: 9,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796 : 34,195.92 = 6,380 : x
  2. Step 2: Convert to fraction form
    22,796/34,195.92 = 6,380/x
  3. Step 3: Cross multiply
    22,796x = 34,195.92 × 6,380
  4. Step 4: Simplify right side
    22,796x = 218,169,969.60
  5. Step 5: Solve for x
    x = 218,169,969.60/22,796
  6. Step 6: Final answer
    x = 9,570.54

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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.