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Finding the Fourth Proportional to 6,695, 10,043.86 and 2,014.80

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Solution

The fourth proportional to 6,695, 10,043.86 and 2,014.80 is: 3,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695 : 10,043.86 = 2,014.80 : x
  2. Step 2: Convert to fraction form
    6,695/10,043.86 = 2,014.80/x
  3. Step 3: Cross multiply
    6,695x = 10,043.86 × 2,014.80
  4. Step 4: Simplify right side
    6,695x = 20,236,369.13
  5. Step 5: Solve for x
    x = 20,236,369.13/6,695
  6. Step 6: Final answer
    x = 3,022.61

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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.