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Finding the Fourth Proportional to 6,957.62, 10,438.17 and 2,027.33

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Solution

The fourth proportional to 6,957.62, 10,438.17 and 2,027.33 is: 3,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.62 : 10,438.17 = 2,027.33 : x
  2. Step 2: Convert to fraction form
    6,957.62/10,438.17 = 2,027.33/x
  3. Step 3: Cross multiply
    6,957.62x = 10,438.17 × 2,027.33
  4. Step 4: Simplify right side
    6,957.62x = 21,161,563.00
  5. Step 5: Solve for x
    x = 21,161,563.00/6,957.62
  6. Step 6: Final answer
    x = 3,041.50

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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.