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Finding the Fourth Proportional to 6,667.52, 9,134.37 and 6,418.24

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Solution

The fourth proportional to 6,667.52, 9,134.37 and 6,418.24 is: 8,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.52 : 9,134.37 = 6,418.24 : x
  2. Step 2: Convert to fraction form
    6,667.52/9,134.37 = 6,418.24/x
  3. Step 3: Cross multiply
    6,667.52x = 9,134.37 × 6,418.24
  4. Step 4: Simplify right side
    6,667.52x = 58,626,556.07
  5. Step 5: Solve for x
    x = 58,626,556.07/6,667.52
  6. Step 6: Final answer
    x = 8,792.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.