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Finding the Fourth Proportional to 6,657.64, 9,987.42 and 2,041

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Solution

The fourth proportional to 6,657.64, 9,987.42 and 2,041 is: 3,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.64 : 9,987.42 = 2,041 : x
  2. Step 2: Convert to fraction form
    6,657.64/9,987.42 = 2,041/x
  3. Step 3: Cross multiply
    6,657.64x = 9,987.42 × 2,041
  4. Step 4: Simplify right side
    6,657.64x = 20,384,324.22
  5. Step 5: Solve for x
    x = 20,384,324.22/6,657.64
  6. Step 6: Final answer
    x = 3,061.79

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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.