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Finding the Fourth Proportional to 6,238.54, 8,606.98 and 4,001.63

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Solution

The fourth proportional to 6,238.54, 8,606.98 and 4,001.63 is: 5,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.54 : 8,606.98 = 4,001.63 : x
  2. Step 2: Convert to fraction form
    6,238.54/8,606.98 = 4,001.63/x
  3. Step 3: Cross multiply
    6,238.54x = 8,606.98 × 4,001.63
  4. Step 4: Simplify right side
    6,238.54x = 34,441,949.38
  5. Step 5: Solve for x
    x = 34,441,949.38/6,238.54
  6. Step 6: Final answer
    x = 5,520.83

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Half scale
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Double scale
Find fourth proportional to 6,239.54, 8,608.36 and 4,002.63
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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.