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Finding the Fourth Proportional to 6,994.77, 9,652.82 and 3,850.96

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Solution

The fourth proportional to 6,994.77, 9,652.82 and 3,850.96 is: 5,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.77 : 9,652.82 = 3,850.96 : x
  2. Step 2: Convert to fraction form
    6,994.77/9,652.82 = 3,850.96/x
  3. Step 3: Cross multiply
    6,994.77x = 9,652.82 × 3,850.96
  4. Step 4: Simplify right side
    6,994.77x = 37,172,633.33
  5. Step 5: Solve for x
    x = 37,172,633.33/6,994.77
  6. Step 6: Final answer
    x = 5,314.34

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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.