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Finding the Fourth Proportional to 7,584, 11,376 and 2,112

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Solution

The fourth proportional to 7,584, 11,376 and 2,112 is: 3,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 11,376 = 2,112 : x
  2. Step 2: Convert to fraction form
    7,584/11,376 = 2,112/x
  3. Step 3: Cross multiply
    7,584x = 11,376 × 2,112
  4. Step 4: Simplify right side
    7,584x = 24,026,112
  5. Step 5: Solve for x
    x = 24,026,112/7,584
  6. Step 6: Final answer
    x = 3,168

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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.