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Finding the Fourth Proportional to 13,082.75, 18,055.83 and 7,493.75

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Solution

The fourth proportional to 13,082.75, 18,055.83 and 7,493.75 is: 10,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.75 : 18,055.83 = 7,493.75 : x
  2. Step 2: Convert to fraction form
    13,082.75/18,055.83 = 7,493.75/x
  3. Step 3: Cross multiply
    13,082.75x = 18,055.83 × 7,493.75
  4. Step 4: Simplify right side
    13,082.75x = 135,305,876.06
  5. Step 5: Solve for x
    x = 135,305,876.06/13,082.75
  6. Step 6: Final answer
    x = 10,342.31

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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.