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Finding the Fourth Proportional to 12,822, 19,233 and 4,614

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Solution

The fourth proportional to 12,822, 19,233 and 4,614 is: 6,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822 : 19,233 = 4,614 : x
  2. Step 2: Convert to fraction form
    12,822/19,233 = 4,614/x
  3. Step 3: Cross multiply
    12,822x = 19,233 × 4,614
  4. Step 4: Simplify right side
    12,822x = 88,741,062
  5. Step 5: Solve for x
    x = 88,741,062/12,822
  6. Step 6: Final answer
    x = 6,921

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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.