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Finding the Fourth Proportional to 12,100.40, 16,697.36 and 6,794

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Solution

The fourth proportional to 12,100.40, 16,697.36 and 6,794 is: 9,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.40 : 16,697.36 = 6,794 : x
  2. Step 2: Convert to fraction form
    12,100.40/16,697.36 = 6,794/x
  3. Step 3: Cross multiply
    12,100.40x = 16,697.36 × 6,794
  4. Step 4: Simplify right side
    12,100.40x = 113,441,863.84
  5. Step 5: Solve for x
    x = 113,441,863.84/12,100.40
  6. Step 6: Final answer
    x = 9,375.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.