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Finding the Fourth Proportional to 6,243.92, 9,299.63 and 6,213.74

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Solution

The fourth proportional to 6,243.92, 9,299.63 and 6,213.74 is: 9,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.92 : 9,299.63 = 6,213.74 : x
  2. Step 2: Convert to fraction form
    6,243.92/9,299.63 = 6,213.74/x
  3. Step 3: Cross multiply
    6,243.92x = 9,299.63 × 6,213.74
  4. Step 4: Simplify right side
    6,243.92x = 57,785,469.31
  5. Step 5: Solve for x
    x = 57,785,469.31/6,243.92
  6. Step 6: Final answer
    x = 9,254.68

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.