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Finding the Fourth Proportional to 6,979.61, 10,469.86 and 3,084

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Solution

The fourth proportional to 6,979.61, 10,469.86 and 3,084 is: 4,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.61 : 10,469.86 = 3,084 : x
  2. Step 2: Convert to fraction form
    6,979.61/10,469.86 = 3,084/x
  3. Step 3: Cross multiply
    6,979.61x = 10,469.86 × 3,084
  4. Step 4: Simplify right side
    6,979.61x = 32,289,040.53
  5. Step 5: Solve for x
    x = 32,289,040.53/6,979.61
  6. Step 6: Final answer
    x = 4,626.20

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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.