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Finding the Fourth Proportional to 11,665.86, 17,503.11 and 5,429.22

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Solution

The fourth proportional to 11,665.86, 17,503.11 and 5,429.22 is: 8,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.86 : 17,503.11 = 5,429.22 : x
  2. Step 2: Convert to fraction form
    11,665.86/17,503.11 = 5,429.22/x
  3. Step 3: Cross multiply
    11,665.86x = 17,503.11 × 5,429.22
  4. Step 4: Simplify right side
    11,665.86x = 95,028,234.87
  5. Step 5: Solve for x
    x = 95,028,234.87/11,665.86
  6. Step 6: Final answer
    x = 8,145.84

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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.