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Finding the Fourth Proportional to 11,776.97, 16,245 and 6,993.66

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Solution

The fourth proportional to 11,776.97, 16,245 and 6,993.66 is: 9,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.97 : 16,245 = 6,993.66 : x
  2. Step 2: Convert to fraction form
    11,776.97/16,245 = 6,993.66/x
  3. Step 3: Cross multiply
    11,776.97x = 16,245 × 6,993.66
  4. Step 4: Simplify right side
    11,776.97x = 113,612,006.70
  5. Step 5: Solve for x
    x = 113,612,006.70/11,776.97
  6. Step 6: Final answer
    x = 9,646.97

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1.5x scale

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.