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Finding the Fourth Proportional to 6,784.97, 9,367.82 and 4,236.60

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Solution

The fourth proportional to 6,784.97, 9,367.82 and 4,236.60 is: 5,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.97 : 9,367.82 = 4,236.60 : x
  2. Step 2: Convert to fraction form
    6,784.97/9,367.82 = 4,236.60/x
  3. Step 3: Cross multiply
    6,784.97x = 9,367.82 × 4,236.60
  4. Step 4: Simplify right side
    6,784.97x = 39,687,685.03
  5. Step 5: Solve for x
    x = 39,687,685.03/6,784.97
  6. Step 6: Final answer
    x = 5,849.36

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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.