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Finding the Fourth Proportional to 6,939, 10,406.91 and 2,007.54

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Solution

The fourth proportional to 6,939, 10,406.91 and 2,007.54 is: 3,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939 : 10,406.91 = 2,007.54 : x
  2. Step 2: Convert to fraction form
    6,939/10,406.91 = 2,007.54/x
  3. Step 3: Cross multiply
    6,939x = 10,406.91 × 2,007.54
  4. Step 4: Simplify right side
    6,939x = 20,892,288.10
  5. Step 5: Solve for x
    x = 20,892,288.10/6,939
  6. Step 6: Final answer
    x = 3,010.85

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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.