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Finding the Fourth Proportional to 6,797.71, 9,381.48 and 3,964.86

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Solution

The fourth proportional to 6,797.71, 9,381.48 and 3,964.86 is: 5,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.71 : 9,381.48 = 3,964.86 : x
  2. Step 2: Convert to fraction form
    6,797.71/9,381.48 = 3,964.86/x
  3. Step 3: Cross multiply
    6,797.71x = 9,381.48 × 3,964.86
  4. Step 4: Simplify right side
    6,797.71x = 37,196,254.79
  5. Step 5: Solve for x
    x = 37,196,254.79/6,797.71
  6. Step 6: Final answer
    x = 5,471.88

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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.