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Finding the Fourth Proportional to 6,523.76, 9,786.41 and 2,079.88

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Solution

The fourth proportional to 6,523.76, 9,786.41 and 2,079.88 is: 3,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.76 : 9,786.41 = 2,079.88 : x
  2. Step 2: Convert to fraction form
    6,523.76/9,786.41 = 2,079.88/x
  3. Step 3: Cross multiply
    6,523.76x = 9,786.41 × 2,079.88
  4. Step 4: Simplify right side
    6,523.76x = 20,354,549.71
  5. Step 5: Solve for x
    x = 20,354,549.71/6,523.76
  6. Step 6: Final answer
    x = 3,120.06

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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.