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Finding the Fourth Proportional to 6,614.61, 9,922.14 and 3,325.91

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Solution

The fourth proportional to 6,614.61, 9,922.14 and 3,325.91 is: 4,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.61 : 9,922.14 = 3,325.91 : x
  2. Step 2: Convert to fraction form
    6,614.61/9,922.14 = 3,325.91/x
  3. Step 3: Cross multiply
    6,614.61x = 9,922.14 × 3,325.91
  4. Step 4: Simplify right side
    6,614.61x = 33,000,078.41
  5. Step 5: Solve for x
    x = 33,000,078.41/6,614.61
  6. Step 6: Final answer
    x = 4,988.97

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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.