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Finding the Fourth Proportional to 6,784.67, 9,361.07 and 3,912.70

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Solution

The fourth proportional to 6,784.67, 9,361.07 and 3,912.70 is: 5,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.67 : 9,361.07 = 3,912.70 : x
  2. Step 2: Convert to fraction form
    6,784.67/9,361.07 = 3,912.70/x
  3. Step 3: Cross multiply
    6,784.67x = 9,361.07 × 3,912.70
  4. Step 4: Simplify right side
    6,784.67x = 36,627,044.97
  5. Step 5: Solve for x
    x = 36,627,044.97/6,784.67
  6. Step 6: Final answer
    x = 5,398.50

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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.