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Finding the Fourth Proportional to 11,644, 17,466.58 and 3,325.25

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Solution

The fourth proportional to 11,644, 17,466.58 and 3,325.25 is: 4,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644 : 17,466.58 = 3,325.25 : x
  2. Step 2: Convert to fraction form
    11,644/17,466.58 = 3,325.25/x
  3. Step 3: Cross multiply
    11,644x = 17,466.58 × 3,325.25
  4. Step 4: Simplify right side
    11,644x = 58,080,745.15
  5. Step 5: Solve for x
    x = 58,080,745.15/11,644
  6. Step 6: Final answer
    x = 4,988.04

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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.