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Finding the Fourth Proportional to 6,484.17, 9,722.77 and 2,041

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Solution

The fourth proportional to 6,484.17, 9,722.77 and 2,041 is: 3,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.17 : 9,722.77 = 2,041 : x
  2. Step 2: Convert to fraction form
    6,484.17/9,722.77 = 2,041/x
  3. Step 3: Cross multiply
    6,484.17x = 9,722.77 × 2,041
  4. Step 4: Simplify right side
    6,484.17x = 19,844,173.57
  5. Step 5: Solve for x
    x = 19,844,173.57/6,484.17
  6. Step 6: Final answer
    x = 3,060.40

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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.