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Finding the Fourth Proportional to 11,773, 16,246.26 and 6,993.64

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Solution

The fourth proportional to 11,773, 16,246.26 and 6,993.64 is: 9,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773 : 16,246.26 = 6,993.64 : x
  2. Step 2: Convert to fraction form
    11,773/16,246.26 = 6,993.64/x
  3. Step 3: Cross multiply
    11,773x = 16,246.26 × 6,993.64
  4. Step 4: Simplify right side
    11,773x = 113,620,493.79
  5. Step 5: Solve for x
    x = 113,620,493.79/11,773
  6. Step 6: Final answer
    x = 9,650.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.