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Finding the Fourth Proportional to 12,824, 19,236 and 4,616

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Solution

The fourth proportional to 12,824, 19,236 and 4,616 is: 6,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824 : 19,236 = 4,616 : x
  2. Step 2: Convert to fraction form
    12,824/19,236 = 4,616/x
  3. Step 3: Cross multiply
    12,824x = 19,236 × 4,616
  4. Step 4: Simplify right side
    12,824x = 88,793,376
  5. Step 5: Solve for x
    x = 88,793,376/12,824
  6. Step 6: Final answer
    x = 6,924

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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.