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Finding the Fourth Proportional to 6,993.18, 10,489.71 and 2,833.12

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Solution

The fourth proportional to 6,993.18, 10,489.71 and 2,833.12 is: 4,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.18 : 10,489.71 = 2,833.12 : x
  2. Step 2: Convert to fraction form
    6,993.18/10,489.71 = 2,833.12/x
  3. Step 3: Cross multiply
    6,993.18x = 10,489.71 × 2,833.12
  4. Step 4: Simplify right side
    6,993.18x = 29,718,607.20
  5. Step 5: Solve for x
    x = 29,718,607.20/6,993.18
  6. Step 6: Final answer
    x = 4,249.66

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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.