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Finding the Fourth Proportional to 6,336, 9,504 and 2,232

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Solution

The fourth proportional to 6,336, 9,504 and 2,232 is: 3,348

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336 : 9,504 = 2,232 : x
  2. Step 2: Convert to fraction form
    6,336/9,504 = 2,232/x
  3. Step 3: Cross multiply
    6,336x = 9,504 × 2,232
  4. Step 4: Simplify right side
    6,336x = 21,212,928
  5. Step 5: Solve for x
    x = 21,212,928/6,336
  6. Step 6: Final answer
    x = 3,348

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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.