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Finding the Fourth Proportional to 6,784.00, 9,361.09 and 3,951.83

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Solution

The fourth proportional to 6,784.00, 9,361.09 and 3,951.83 is: 5,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.00 : 9,361.09 = 3,951.83 : x
  2. Step 2: Convert to fraction form
    6,784.00/9,361.09 = 3,951.83/x
  3. Step 3: Cross multiply
    6,784.00x = 9,361.09 × 3,951.83
  4. Step 4: Simplify right side
    6,784.00x = 36,993,449.82
  5. Step 5: Solve for x
    x = 36,993,449.82/6,784.00
  6. Step 6: Final answer
    x = 5,453.05

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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.