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Finding the Fourth Proportional to 6,377.60, 9,558.30 and 3,453.50

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Solution

The fourth proportional to 6,377.60, 9,558.30 and 3,453.50 is: 5,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.60 : 9,558.30 = 3,453.50 : x
  2. Step 2: Convert to fraction form
    6,377.60/9,558.30 = 3,453.50/x
  3. Step 3: Cross multiply
    6,377.60x = 9,558.30 × 3,453.50
  4. Step 4: Simplify right side
    6,377.60x = 33,009,589.05
  5. Step 5: Solve for x
    x = 33,009,589.05/6,377.60
  6. Step 6: Final answer
    x = 5,175.86

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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.