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Finding the Fourth Proportional to 6,957.69, 10,438.16 and 2,027.85

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Solution

The fourth proportional to 6,957.69, 10,438.16 and 2,027.85 is: 3,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.69 : 10,438.16 = 2,027.85 : x
  2. Step 2: Convert to fraction form
    6,957.69/10,438.16 = 2,027.85/x
  3. Step 3: Cross multiply
    6,957.69x = 10,438.16 × 2,027.85
  4. Step 4: Simplify right side
    6,957.69x = 21,167,012.62
  5. Step 5: Solve for x
    x = 21,167,012.62/6,957.69
  6. Step 6: Final answer
    x = 3,042.25

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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.