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Finding the Fourth Proportional to 7,824, 11,736 and 2,352

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Solution

The fourth proportional to 7,824, 11,736 and 2,352 is: 3,528

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 11,736 = 2,352 : x
  2. Step 2: Convert to fraction form
    7,824/11,736 = 2,352/x
  3. Step 3: Cross multiply
    7,824x = 11,736 × 2,352
  4. Step 4: Simplify right side
    7,824x = 27,603,072
  5. Step 5: Solve for x
    x = 27,603,072/7,824
  6. Step 6: Final answer
    x = 3,528

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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.