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Finding the Fourth Proportional to 9,799, 13,523.22 and 5,550.46

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Solution

The fourth proportional to 9,799, 13,523.22 and 5,550.46 is: 7,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799 : 13,523.22 = 5,550.46 : x
  2. Step 2: Convert to fraction form
    9,799/13,523.22 = 5,550.46/x
  3. Step 3: Cross multiply
    9,799x = 13,523.22 × 5,550.46
  4. Step 4: Simplify right side
    9,799x = 75,060,091.68
  5. Step 5: Solve for x
    x = 75,060,091.68/9,799
  6. Step 6: Final answer
    x = 7,659.97

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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.