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Finding the Fourth Proportional to 5,906.82, 8,860.74 and 1,524.24

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Solution

The fourth proportional to 5,906.82, 8,860.74 and 1,524.24 is: 2,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.82 : 8,860.74 = 1,524.24 : x
  2. Step 2: Convert to fraction form
    5,906.82/8,860.74 = 1,524.24/x
  3. Step 3: Cross multiply
    5,906.82x = 8,860.74 × 1,524.24
  4. Step 4: Simplify right side
    5,906.82x = 13,505,894.34
  5. Step 5: Solve for x
    x = 13,505,894.34/5,906.82
  6. Step 6: Final answer
    x = 2,286.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.