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Finding the Fourth Proportional to 11,754.96, 16,221.96 and 6,449.88

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Solution

The fourth proportional to 11,754.96, 16,221.96 and 6,449.88 is: 8,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.96 : 16,221.96 = 6,449.88 : x
  2. Step 2: Convert to fraction form
    11,754.96/16,221.96 = 6,449.88/x
  3. Step 3: Cross multiply
    11,754.96x = 16,221.96 × 6,449.88
  4. Step 4: Simplify right side
    11,754.96x = 104,629,695.36
  5. Step 5: Solve for x
    x = 104,629,695.36/11,754.96
  6. Step 6: Final answer
    x = 8,900.90

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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.