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Finding the Fourth Proportional to 6,100.70, 9,147.98 and 2,980.94

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Solution

The fourth proportional to 6,100.70, 9,147.98 and 2,980.94 is: 4,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.70 : 9,147.98 = 2,980.94 : x
  2. Step 2: Convert to fraction form
    6,100.70/9,147.98 = 2,980.94/x
  3. Step 3: Cross multiply
    6,100.70x = 9,147.98 × 2,980.94
  4. Step 4: Simplify right side
    6,100.70x = 27,269,579.50
  5. Step 5: Solve for x
    x = 27,269,579.50/6,100.70
  6. Step 6: Final answer
    x = 4,469.91

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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.