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Finding the Fourth Proportional to 6,173.57, 9,260.43 and 3,709.09

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Solution

The fourth proportional to 6,173.57, 9,260.43 and 3,709.09 is: 5,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.57 : 9,260.43 = 3,709.09 : x
  2. Step 2: Convert to fraction form
    6,173.57/9,260.43 = 3,709.09/x
  3. Step 3: Cross multiply
    6,173.57x = 9,260.43 × 3,709.09
  4. Step 4: Simplify right side
    6,173.57x = 34,347,765.98
  5. Step 5: Solve for x
    x = 34,347,765.98/6,173.57
  6. Step 6: Final answer
    x = 5,563.68

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1.5x scale

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.