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Finding the Fourth Proportional to 6,616.18, 9,924.07 and 2,233.27

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Solution

The fourth proportional to 6,616.18, 9,924.07 and 2,233.27 is: 3,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.18 : 9,924.07 = 2,233.27 : x
  2. Step 2: Convert to fraction form
    6,616.18/9,924.07 = 2,233.27/x
  3. Step 3: Cross multiply
    6,616.18x = 9,924.07 × 2,233.27
  4. Step 4: Simplify right side
    6,616.18x = 22,163,127.81
  5. Step 5: Solve for x
    x = 22,163,127.81/6,616.18
  6. Step 6: Final answer
    x = 3,349.84

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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.