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Finding the Fourth Proportional to 6,667.52, 10,002.49 and 2,285.42

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Solution

The fourth proportional to 6,667.52, 10,002.49 and 2,285.42 is: 3,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.52 : 10,002.49 = 2,285.42 : x
  2. Step 2: Convert to fraction form
    6,667.52/10,002.49 = 2,285.42/x
  3. Step 3: Cross multiply
    6,667.52x = 10,002.49 × 2,285.42
  4. Step 4: Simplify right side
    6,667.52x = 22,859,834.97
  5. Step 5: Solve for x
    x = 22,859,834.97/6,667.52
  6. Step 6: Final answer
    x = 3,428.54

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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.