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Finding the Fourth Proportional to 33,230.77, 49,846.15 and 9,857

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Solution

The fourth proportional to 33,230.77, 49,846.15 and 9,857 is: 14,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.77 : 49,846.15 = 9,857 : x
  2. Step 2: Convert to fraction form
    33,230.77/49,846.15 = 9,857/x
  3. Step 3: Cross multiply
    33,230.77x = 49,846.15 × 9,857
  4. Step 4: Simplify right side
    33,230.77x = 491,333,500.55
  5. Step 5: Solve for x
    x = 491,333,500.55/33,230.77
  6. Step 6: Final answer
    x = 14,785.50

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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.