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Finding the Fourth Proportional to 11,970.82, 16,508.97 and 7,494.97

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Solution

The fourth proportional to 11,970.82, 16,508.97 and 7,494.97 is: 10,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.82 : 16,508.97 = 7,494.97 : x
  2. Step 2: Convert to fraction form
    11,970.82/16,508.97 = 7,494.97/x
  3. Step 3: Cross multiply
    11,970.82x = 16,508.97 × 7,494.97
  4. Step 4: Simplify right side
    11,970.82x = 123,734,234.88
  5. Step 5: Solve for x
    x = 123,734,234.88/11,970.82
  6. Step 6: Final answer
    x = 10,336.32

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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.