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Finding the Fourth Proportional to 6,538.26, 9,800.66 and 3,416.60

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Solution

The fourth proportional to 6,538.26, 9,800.66 and 3,416.60 is: 5,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.26 : 9,800.66 = 3,416.60 : x
  2. Step 2: Convert to fraction form
    6,538.26/9,800.66 = 3,416.60/x
  3. Step 3: Cross multiply
    6,538.26x = 9,800.66 × 3,416.60
  4. Step 4: Simplify right side
    6,538.26x = 33,484,934.96
  5. Step 5: Solve for x
    x = 33,484,934.96/6,538.26
  6. Step 6: Final answer
    x = 5,121.38

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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.