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Finding the Fourth Proportional to 6,934.54, 10,399.04 and 4,014.90

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Solution

The fourth proportional to 6,934.54, 10,399.04 and 4,014.90 is: 6,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.54 : 10,399.04 = 4,014.90 : x
  2. Step 2: Convert to fraction form
    6,934.54/10,399.04 = 4,014.90/x
  3. Step 3: Cross multiply
    6,934.54x = 10,399.04 × 4,014.90
  4. Step 4: Simplify right side
    6,934.54x = 41,751,105.70
  5. Step 5: Solve for x
    x = 41,751,105.70/6,934.54
  6. Step 6: Final answer
    x = 6,020.75

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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.