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Finding the Fourth Proportional to 6,108.57, 9,163.59 and 1,947.12

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Solution

The fourth proportional to 6,108.57, 9,163.59 and 1,947.12 is: 2,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.57 : 9,163.59 = 1,947.12 : x
  2. Step 2: Convert to fraction form
    6,108.57/9,163.59 = 1,947.12/x
  3. Step 3: Cross multiply
    6,108.57x = 9,163.59 × 1,947.12
  4. Step 4: Simplify right side
    6,108.57x = 17,842,609.36
  5. Step 5: Solve for x
    x = 17,842,609.36/6,108.57
  6. Step 6: Final answer
    x = 2,920.91

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Half scale
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Double scale
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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.