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Finding the Fourth Proportional to 10,674.97, 16,014.50 and 3,278.11

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Solution

The fourth proportional to 10,674.97, 16,014.50 and 3,278.11 is: 4,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.97 : 16,014.50 = 3,278.11 : x
  2. Step 2: Convert to fraction form
    10,674.97/16,014.50 = 3,278.11/x
  3. Step 3: Cross multiply
    10,674.97x = 16,014.50 × 3,278.11
  4. Step 4: Simplify right side
    10,674.97x = 52,497,292.60
  5. Step 5: Solve for x
    x = 52,497,292.60/10,674.97
  6. Step 6: Final answer
    x = 4,917.79

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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.