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Finding the Fourth Proportional to 6,993.82, 10,494.38 and 2,836.90

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Solution

The fourth proportional to 6,993.82, 10,494.38 and 2,836.90 is: 4,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.82 : 10,494.38 = 2,836.90 : x
  2. Step 2: Convert to fraction form
    6,993.82/10,494.38 = 2,836.90/x
  3. Step 3: Cross multiply
    6,993.82x = 10,494.38 × 2,836.90
  4. Step 4: Simplify right side
    6,993.82x = 29,771,506.62
  5. Step 5: Solve for x
    x = 29,771,506.62/6,993.82
  6. Step 6: Final answer
    x = 4,256.83

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1.5x scale

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.