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Finding the Fourth Proportional to 6,446.40, 9,664.80 and 2,745.60

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Solution

The fourth proportional to 6,446.40, 9,664.80 and 2,745.60 is: 4,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.40 : 9,664.80 = 2,745.60 : x
  2. Step 2: Convert to fraction form
    6,446.40/9,664.80 = 2,745.60/x
  3. Step 3: Cross multiply
    6,446.40x = 9,664.80 × 2,745.60
  4. Step 4: Simplify right side
    6,446.40x = 26,535,674.88
  5. Step 5: Solve for x
    x = 26,535,674.88/6,446.40
  6. Step 6: Final answer
    x = 4,116.36

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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.