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Finding the Fourth Proportional to 7,794.66, 10,757.07 and 7,269.78

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Solution

The fourth proportional to 7,794.66, 10,757.07 and 7,269.78 is: 10,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.66 : 10,757.07 = 7,269.78 : x
  2. Step 2: Convert to fraction form
    7,794.66/10,757.07 = 7,269.78/x
  3. Step 3: Cross multiply
    7,794.66x = 10,757.07 × 7,269.78
  4. Step 4: Simplify right side
    7,794.66x = 78,201,532.34
  5. Step 5: Solve for x
    x = 78,201,532.34/7,794.66
  6. Step 6: Final answer
    x = 10,032.71

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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.