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Finding the Fourth Proportional to 6,270.71, 9,399.92 and 3,498.71

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Solution

The fourth proportional to 6,270.71, 9,399.92 and 3,498.71 is: 5,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.71 : 9,399.92 = 3,498.71 : x
  2. Step 2: Convert to fraction form
    6,270.71/9,399.92 = 3,498.71/x
  3. Step 3: Cross multiply
    6,270.71x = 9,399.92 × 3,498.71
  4. Step 4: Simplify right side
    6,270.71x = 32,887,529.61
  5. Step 5: Solve for x
    x = 32,887,529.61/6,270.71
  6. Step 6: Final answer
    x = 5,244.63

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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.