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Finding the Fourth Proportional to 6,997.32, 10,444.78 and 6,166.97

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Solution

The fourth proportional to 6,997.32, 10,444.78 and 6,166.97 is: 9,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.32 : 10,444.78 = 6,166.97 : x
  2. Step 2: Convert to fraction form
    6,997.32/10,444.78 = 6,166.97/x
  3. Step 3: Cross multiply
    6,997.32x = 10,444.78 × 6,166.97
  4. Step 4: Simplify right side
    6,997.32x = 64,412,644.92
  5. Step 5: Solve for x
    x = 64,412,644.92/6,997.32
  6. Step 6: Final answer
    x = 9,205.33

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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.