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Finding the Fourth Proportional to 6,996, 10,494 and 2,892

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Solution

The fourth proportional to 6,996, 10,494 and 2,892 is: 4,338

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996 : 10,494 = 2,892 : x
  2. Step 2: Convert to fraction form
    6,996/10,494 = 2,892/x
  3. Step 3: Cross multiply
    6,996x = 10,494 × 2,892
  4. Step 4: Simplify right side
    6,996x = 30,348,648
  5. Step 5: Solve for x
    x = 30,348,648/6,996
  6. Step 6: Final answer
    x = 4,338

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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.