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Finding the Fourth Proportional to 6,309.73, 9,475.09 and 3,943.29

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Solution

The fourth proportional to 6,309.73, 9,475.09 and 3,943.29 is: 5,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.73 : 9,475.09 = 3,943.29 : x
  2. Step 2: Convert to fraction form
    6,309.73/9,475.09 = 3,943.29/x
  3. Step 3: Cross multiply
    6,309.73x = 9,475.09 × 3,943.29
  4. Step 4: Simplify right side
    6,309.73x = 37,363,027.65
  5. Step 5: Solve for x
    x = 37,363,027.65/6,309.73
  6. Step 6: Final answer
    x = 5,921.49

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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.