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Finding the Fourth Proportional to 6,944.82, 9,583.77 and 3,801

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Solution

The fourth proportional to 6,944.82, 9,583.77 and 3,801 is: 5,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.82 : 9,583.77 = 3,801 : x
  2. Step 2: Convert to fraction form
    6,944.82/9,583.77 = 3,801/x
  3. Step 3: Cross multiply
    6,944.82x = 9,583.77 × 3,801
  4. Step 4: Simplify right side
    6,944.82x = 36,427,909.77
  5. Step 5: Solve for x
    x = 36,427,909.77/6,944.82
  6. Step 6: Final answer
    x = 5,245.34

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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.