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Finding the Fourth Proportional to 6,445.26, 9,660.80 and 3,325.44

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Solution

The fourth proportional to 6,445.26, 9,660.80 and 3,325.44 is: 4,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.26 : 9,660.80 = 3,325.44 : x
  2. Step 2: Convert to fraction form
    6,445.26/9,660.80 = 3,325.44/x
  3. Step 3: Cross multiply
    6,445.26x = 9,660.80 × 3,325.44
  4. Step 4: Simplify right side
    6,445.26x = 32,126,394.12
  5. Step 5: Solve for x
    x = 32,126,394.12/6,445.26
  6. Step 6: Final answer
    x = 4,984.50

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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.