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Finding the Fourth Proportional to 6,805.73, 9,408.74 and 6,743.38

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Solution

The fourth proportional to 6,805.73, 9,408.74 and 6,743.38 is: 9,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.73 : 9,408.74 = 6,743.38 : x
  2. Step 2: Convert to fraction form
    6,805.73/9,408.74 = 6,743.38/x
  3. Step 3: Cross multiply
    6,805.73x = 9,408.74 × 6,743.38
  4. Step 4: Simplify right side
    6,805.73x = 63,446,737.76
  5. Step 5: Solve for x
    x = 63,446,737.76/6,805.73
  6. Step 6: Final answer
    x = 9,322.55

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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.