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Finding the Fourth Proportional to 10,676, 16,014 and 2,884.82

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Solution

The fourth proportional to 10,676, 16,014 and 2,884.82 is: 4,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676 : 16,014 = 2,884.82 : x
  2. Step 2: Convert to fraction form
    10,676/16,014 = 2,884.82/x
  3. Step 3: Cross multiply
    10,676x = 16,014 × 2,884.82
  4. Step 4: Simplify right side
    10,676x = 46,197,507.48
  5. Step 5: Solve for x
    x = 46,197,507.48/10,676
  6. Step 6: Final answer
    x = 4,327.23

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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.