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Finding the Fourth Proportional to 6,168.14, 9,253.08 and 2,006.81

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Solution

The fourth proportional to 6,168.14, 9,253.08 and 2,006.81 is: 3,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.14 : 9,253.08 = 2,006.81 : x
  2. Step 2: Convert to fraction form
    6,168.14/9,253.08 = 2,006.81/x
  3. Step 3: Cross multiply
    6,168.14x = 9,253.08 × 2,006.81
  4. Step 4: Simplify right side
    6,168.14x = 18,569,173.47
  5. Step 5: Solve for x
    x = 18,569,173.47/6,168.14
  6. Step 6: Final answer
    x = 3,010.50

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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.