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Finding the Fourth Proportional to 6,615.77, 9,923.94 and 2,233.26

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Solution

The fourth proportional to 6,615.77, 9,923.94 and 2,233.26 is: 3,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.77 : 9,923.94 = 2,233.26 : x
  2. Step 2: Convert to fraction form
    6,615.77/9,923.94 = 2,233.26/x
  3. Step 3: Cross multiply
    6,615.77x = 9,923.94 × 2,233.26
  4. Step 4: Simplify right side
    6,615.77x = 22,162,738.24
  5. Step 5: Solve for x
    x = 22,162,738.24/6,615.77
  6. Step 6: Final answer
    x = 3,349.99

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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.