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Finding the Fourth Proportional to 6,967.71, 10,451.91 and 2,807.16

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Solution

The fourth proportional to 6,967.71, 10,451.91 and 2,807.16 is: 4,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.71 : 10,451.91 = 2,807.16 : x
  2. Step 2: Convert to fraction form
    6,967.71/10,451.91 = 2,807.16/x
  3. Step 3: Cross multiply
    6,967.71x = 10,451.91 × 2,807.16
  4. Step 4: Simplify right side
    6,967.71x = 29,340,183.68
  5. Step 5: Solve for x
    x = 29,340,183.68/6,967.71
  6. Step 6: Final answer
    x = 4,210.88

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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.