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Finding the Fourth Proportional to 6,564.72, 9,838.44 and 2,667

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Solution

The fourth proportional to 6,564.72, 9,838.44 and 2,667 is: 3,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.72 : 9,838.44 = 2,667 : x
  2. Step 2: Convert to fraction form
    6,564.72/9,838.44 = 2,667/x
  3. Step 3: Cross multiply
    6,564.72x = 9,838.44 × 2,667
  4. Step 4: Simplify right side
    6,564.72x = 26,239,119.48
  5. Step 5: Solve for x
    x = 26,239,119.48/6,564.72
  6. Step 6: Final answer
    x = 3,996.99

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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.