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Finding the Fourth Proportional to 6,933.03, 10,400.08 and 2,002.71

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Solution

The fourth proportional to 6,933.03, 10,400.08 and 2,002.71 is: 3,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.03 : 10,400.08 = 2,002.71 : x
  2. Step 2: Convert to fraction form
    6,933.03/10,400.08 = 2,002.71/x
  3. Step 3: Cross multiply
    6,933.03x = 10,400.08 × 2,002.71
  4. Step 4: Simplify right side
    6,933.03x = 20,828,344.22
  5. Step 5: Solve for x
    x = 20,828,344.22/6,933.03
  6. Step 6: Final answer
    x = 3,004.22

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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.