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Finding the Fourth Proportional to 6,231.78, 9,302.07 and 5,493.66

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Solution

The fourth proportional to 6,231.78, 9,302.07 and 5,493.66 is: 8,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.78 : 9,302.07 = 5,493.66 : x
  2. Step 2: Convert to fraction form
    6,231.78/9,302.07 = 5,493.66/x
  3. Step 3: Cross multiply
    6,231.78x = 9,302.07 × 5,493.66
  4. Step 4: Simplify right side
    6,231.78x = 51,102,409.88
  5. Step 5: Solve for x
    x = 51,102,409.88/6,231.78
  6. Step 6: Final answer
    x = 8,200.29

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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.