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Finding the Fourth Proportional to 11,763.99, 16,232.94 and 6,982.20

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Solution

The fourth proportional to 11,763.99, 16,232.94 and 6,982.20 is: 9,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.99 : 16,232.94 = 6,982.20 : x
  2. Step 2: Convert to fraction form
    11,763.99/16,232.94 = 6,982.20/x
  3. Step 3: Cross multiply
    11,763.99x = 16,232.94 × 6,982.20
  4. Step 4: Simplify right side
    11,763.99x = 113,341,633.67
  5. Step 5: Solve for x
    x = 113,341,633.67/11,763.99
  6. Step 6: Final answer
    x = 9,634.63

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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.