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Finding the Fourth Proportional to 11,775.30, 17,630.55 and 9,183.30

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Solution

The fourth proportional to 11,775.30, 17,630.55 and 9,183.30 is: 13,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.30 : 17,630.55 = 9,183.30 : x
  2. Step 2: Convert to fraction form
    11,775.30/17,630.55 = 9,183.30/x
  3. Step 3: Cross multiply
    11,775.30x = 17,630.55 × 9,183.30
  4. Step 4: Simplify right side
    11,775.30x = 161,906,629.82
  5. Step 5: Solve for x
    x = 161,906,629.82/11,775.30
  6. Step 6: Final answer
    x = 13,749.68

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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.