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Finding the Fourth Proportional to 15,328, 22,992 and 4,384

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Solution

The fourth proportional to 15,328, 22,992 and 4,384 is: 6,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,328 : 22,992 = 4,384 : x
  2. Step 2: Convert to fraction form
    15,328/22,992 = 4,384/x
  3. Step 3: Cross multiply
    15,328x = 22,992 × 4,384
  4. Step 4: Simplify right side
    15,328x = 100,796,928
  5. Step 5: Solve for x
    x = 100,796,928/15,328
  6. Step 6: Final answer
    x = 6,576

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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.