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Finding the Fourth Proportional to 21,222, 31,833 and 6,630

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Solution

The fourth proportional to 21,222, 31,833 and 6,630 is: 9,945

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222 : 31,833 = 6,630 : x
  2. Step 2: Convert to fraction form
    21,222/31,833 = 6,630/x
  3. Step 3: Cross multiply
    21,222x = 31,833 × 6,630
  4. Step 4: Simplify right side
    21,222x = 211,052,790
  5. Step 5: Solve for x
    x = 211,052,790/21,222
  6. Step 6: Final answer
    x = 9,945

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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.