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Finding the Fourth Proportional to 6,760.43, 9,328.40 and 3,966.83

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Solution

The fourth proportional to 6,760.43, 9,328.40 and 3,966.83 is: 5,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.43 : 9,328.40 = 3,966.83 : x
  2. Step 2: Convert to fraction form
    6,760.43/9,328.40 = 3,966.83/x
  3. Step 3: Cross multiply
    6,760.43x = 9,328.40 × 3,966.83
  4. Step 4: Simplify right side
    6,760.43x = 37,004,157.14
  5. Step 5: Solve for x
    x = 37,004,157.14/6,760.43
  6. Step 6: Final answer
    x = 5,473.64

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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.