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Finding the Fourth Proportional to 6,561.28, 9,835.71 and 2,614.97

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Solution

The fourth proportional to 6,561.28, 9,835.71 and 2,614.97 is: 3,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.28 : 9,835.71 = 2,614.97 : x
  2. Step 2: Convert to fraction form
    6,561.28/9,835.71 = 2,614.97/x
  3. Step 3: Cross multiply
    6,561.28x = 9,835.71 × 2,614.97
  4. Step 4: Simplify right side
    6,561.28x = 25,720,086.58
  5. Step 5: Solve for x
    x = 25,720,086.58/6,561.28
  6. Step 6: Final answer
    x = 3,919.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.