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Finding the Fourth Proportional to 6,000.52, 8,284.07 and 4,213.49

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Solution

The fourth proportional to 6,000.52, 8,284.07 and 4,213.49 is: 5,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.52 : 8,284.07 = 4,213.49 : x
  2. Step 2: Convert to fraction form
    6,000.52/8,284.07 = 4,213.49/x
  3. Step 3: Cross multiply
    6,000.52x = 8,284.07 × 4,213.49
  4. Step 4: Simplify right side
    6,000.52x = 34,904,846.10
  5. Step 5: Solve for x
    x = 34,904,846.10/6,000.52
  6. Step 6: Final answer
    x = 5,816.97

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