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Finding the Fourth Proportional to 6,993.10, 10,494.08 and 6,336.32

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Solution

The fourth proportional to 6,993.10, 10,494.08 and 6,336.32 is: 9,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.10 : 10,494.08 = 6,336.32 : x
  2. Step 2: Convert to fraction form
    6,993.10/10,494.08 = 6,336.32/x
  3. Step 3: Cross multiply
    6,993.10x = 10,494.08 × 6,336.32
  4. Step 4: Simplify right side
    6,993.10x = 66,493,817.30
  5. Step 5: Solve for x
    x = 66,493,817.30/6,993.10
  6. Step 6: Final answer
    x = 9,508.49

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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.