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Finding the Fourth Proportional to 22,786, 34,180.28 and 6,371.28

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Solution

The fourth proportional to 22,786, 34,180.28 and 6,371.28 is: 9,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786 : 34,180.28 = 6,371.28 : x
  2. Step 2: Convert to fraction form
    22,786/34,180.28 = 6,371.28/x
  3. Step 3: Cross multiply
    22,786x = 34,180.28 × 6,371.28
  4. Step 4: Simplify right side
    22,786x = 217,772,134.36
  5. Step 5: Solve for x
    x = 217,772,134.36/22,786
  6. Step 6: Final answer
    x = 9,557.28

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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.