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Finding the Fourth Proportional to 9,265.76, 12,797.97 and 6,743.87

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Solution

The fourth proportional to 9,265.76, 12,797.97 and 6,743.87 is: 9,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.76 : 12,797.97 = 6,743.87 : x
  2. Step 2: Convert to fraction form
    9,265.76/12,797.97 = 6,743.87/x
  3. Step 3: Cross multiply
    9,265.76x = 12,797.97 × 6,743.87
  4. Step 4: Simplify right side
    9,265.76x = 86,307,845.94
  5. Step 5: Solve for x
    x = 86,307,845.94/9,265.76
  6. Step 6: Final answer
    x = 9,314.71

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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.