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Finding the Fourth Proportional to 9,524.78, 13,150.62 and 5,945.19

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Solution

The fourth proportional to 9,524.78, 13,150.62 and 5,945.19 is: 8,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.78 : 13,150.62 = 5,945.19 : x
  2. Step 2: Convert to fraction form
    9,524.78/13,150.62 = 5,945.19/x
  3. Step 3: Cross multiply
    9,524.78x = 13,150.62 × 5,945.19
  4. Step 4: Simplify right side
    9,524.78x = 78,183,006.13
  5. Step 5: Solve for x
    x = 78,183,006.13/9,524.78
  6. Step 6: Final answer
    x = 8,208.38

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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.