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Finding the Fourth Proportional to 6,141.92, 9,212.87 and 1,524.92

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Solution

The fourth proportional to 6,141.92, 9,212.87 and 1,524.92 is: 2,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.92 : 9,212.87 = 1,524.92 : x
  2. Step 2: Convert to fraction form
    6,141.92/9,212.87 = 1,524.92/x
  3. Step 3: Cross multiply
    6,141.92x = 9,212.87 × 1,524.92
  4. Step 4: Simplify right side
    6,141.92x = 14,048,836.03
  5. Step 5: Solve for x
    x = 14,048,836.03/6,141.92
  6. Step 6: Final answer
    x = 2,287.37

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Double scale
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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.