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Finding the Fourth Proportional to 7,317.44, 10,966.44 and 6,338.96

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Solution

The fourth proportional to 7,317.44, 10,966.44 and 6,338.96 is: 9,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.44 : 10,966.44 = 6,338.96 : x
  2. Step 2: Convert to fraction form
    7,317.44/10,966.44 = 6,338.96/x
  3. Step 3: Cross multiply
    7,317.44x = 10,966.44 × 6,338.96
  4. Step 4: Simplify right side
    7,317.44x = 69,515,824.50
  5. Step 5: Solve for x
    x = 69,515,824.50/7,317.44
  6. Step 6: Final answer
    x = 9,500.02

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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.