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Finding the Fourth Proportional to 6,163.90, 9,246.35 and 2,002.83

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Solution

The fourth proportional to 6,163.90, 9,246.35 and 2,002.83 is: 3,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.90 : 9,246.35 = 2,002.83 : x
  2. Step 2: Convert to fraction form
    6,163.90/9,246.35 = 2,002.83/x
  3. Step 3: Cross multiply
    6,163.90x = 9,246.35 × 2,002.83
  4. Step 4: Simplify right side
    6,163.90x = 18,518,837.50
  5. Step 5: Solve for x
    x = 18,518,837.50/6,163.90
  6. Step 6: Final answer
    x = 3,004.40

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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.