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Finding the Fourth Proportional to 6,107.75, 9,161.17 and 1,947.59

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Solution

The fourth proportional to 6,107.75, 9,161.17 and 1,947.59 is: 2,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.75 : 9,161.17 = 1,947.59 : x
  2. Step 2: Convert to fraction form
    6,107.75/9,161.17 = 1,947.59/x
  3. Step 3: Cross multiply
    6,107.75x = 9,161.17 × 1,947.59
  4. Step 4: Simplify right side
    6,107.75x = 17,842,193.34
  5. Step 5: Solve for x
    x = 17,842,193.34/6,107.75
  6. Step 6: Final answer
    x = 2,921.24

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Similar ratio
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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.