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Finding the Fourth Proportional to 6,297.33, 9,441.84 and 3,524.31

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Solution

The fourth proportional to 6,297.33, 9,441.84 and 3,524.31 is: 5,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.33 : 9,441.84 = 3,524.31 : x
  2. Step 2: Convert to fraction form
    6,297.33/9,441.84 = 3,524.31/x
  3. Step 3: Cross multiply
    6,297.33x = 9,441.84 × 3,524.31
  4. Step 4: Simplify right side
    6,297.33x = 33,275,971.13
  5. Step 5: Solve for x
    x = 33,275,971.13/6,297.33
  6. Step 6: Final answer
    x = 5,284.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.