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Finding the Fourth Proportional to 6,463.52, 9,693.24 and 2,080

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Solution

The fourth proportional to 6,463.52, 9,693.24 and 2,080 is: 3,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.52 : 9,693.24 = 2,080 : x
  2. Step 2: Convert to fraction form
    6,463.52/9,693.24 = 2,080/x
  3. Step 3: Cross multiply
    6,463.52x = 9,693.24 × 2,080
  4. Step 4: Simplify right side
    6,463.52x = 20,161,939.20
  5. Step 5: Solve for x
    x = 20,161,939.20/6,463.52
  6. Step 6: Final answer
    x = 3,119.34

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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.