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Finding the Fourth Proportional to 6,563.68, 9,849.24 and 2,670.88

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Solution

The fourth proportional to 6,563.68, 9,849.24 and 2,670.88 is: 4,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.68 : 9,849.24 = 2,670.88 : x
  2. Step 2: Convert to fraction form
    6,563.68/9,849.24 = 2,670.88/x
  3. Step 3: Cross multiply
    6,563.68x = 9,849.24 × 2,670.88
  4. Step 4: Simplify right side
    6,563.68x = 26,306,138.13
  5. Step 5: Solve for x
    x = 26,306,138.13/6,563.68
  6. Step 6: Final answer
    x = 4,007.83

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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.