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Finding the Fourth Proportional to 6,760.72, 9,329.16 and 3,965.68

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Solution

The fourth proportional to 6,760.72, 9,329.16 and 3,965.68 is: 5,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.72 : 9,329.16 = 3,965.68 : x
  2. Step 2: Convert to fraction form
    6,760.72/9,329.16 = 3,965.68/x
  3. Step 3: Cross multiply
    6,760.72x = 9,329.16 × 3,965.68
  4. Step 4: Simplify right side
    6,760.72x = 36,996,463.23
  5. Step 5: Solve for x
    x = 36,996,463.23/6,760.72
  6. Step 6: Final answer
    x = 5,472.27

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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.