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Finding the Fourth Proportional to 6,340.60, 9,511.80 and 1,957.60

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Solution

The fourth proportional to 6,340.60, 9,511.80 and 1,957.60 is: 2,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.60 : 9,511.80 = 1,957.60 : x
  2. Step 2: Convert to fraction form
    6,340.60/9,511.80 = 1,957.60/x
  3. Step 3: Cross multiply
    6,340.60x = 9,511.80 × 1,957.60
  4. Step 4: Simplify right side
    6,340.60x = 18,620,299.68
  5. Step 5: Solve for x
    x = 18,620,299.68/6,340.60
  6. Step 6: Final answer
    x = 2,936.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.