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Finding the Fourth Proportional to 10,976, 16,464 and 2,768

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Solution

The fourth proportional to 10,976, 16,464 and 2,768 is: 4,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976 : 16,464 = 2,768 : x
  2. Step 2: Convert to fraction form
    10,976/16,464 = 2,768/x
  3. Step 3: Cross multiply
    10,976x = 16,464 × 2,768
  4. Step 4: Simplify right side
    10,976x = 45,572,352
  5. Step 5: Solve for x
    x = 45,572,352/10,976
  6. Step 6: Final answer
    x = 4,152

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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.