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Finding the Fourth Proportional to 11,778.86, 17,662.08 and 5,201.93

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Solution

The fourth proportional to 11,778.86, 17,662.08 and 5,201.93 is: 7,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.86 : 17,662.08 = 5,201.93 : x
  2. Step 2: Convert to fraction form
    11,778.86/17,662.08 = 5,201.93/x
  3. Step 3: Cross multiply
    11,778.86x = 17,662.08 × 5,201.93
  4. Step 4: Simplify right side
    11,778.86x = 91,876,903.81
  5. Step 5: Solve for x
    x = 91,876,903.81/11,778.86
  6. Step 6: Final answer
    x = 7,800.15

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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.