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Finding the Fourth Proportional to 6,980.64, 10,462.46 and 3,277.94

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Solution

The fourth proportional to 6,980.64, 10,462.46 and 3,277.94 is: 4,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.64 : 10,462.46 = 3,277.94 : x
  2. Step 2: Convert to fraction form
    6,980.64/10,462.46 = 3,277.94/x
  3. Step 3: Cross multiply
    6,980.64x = 10,462.46 × 3,277.94
  4. Step 4: Simplify right side
    6,980.64x = 34,295,316.13
  5. Step 5: Solve for x
    x = 34,295,316.13/6,980.64
  6. Step 6: Final answer
    x = 4,912.92

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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.