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Finding the Fourth Proportional to 11,479.13, 17,202.27 and 6,538.57

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Solution

The fourth proportional to 11,479.13, 17,202.27 and 6,538.57 is: 9,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.13 : 17,202.27 = 6,538.57 : x
  2. Step 2: Convert to fraction form
    11,479.13/17,202.27 = 6,538.57/x
  3. Step 3: Cross multiply
    11,479.13x = 17,202.27 × 6,538.57
  4. Step 4: Simplify right side
    11,479.13x = 112,478,170.86
  5. Step 5: Solve for x
    x = 112,478,170.86/11,479.13
  6. Step 6: Final answer
    x = 9,798.49

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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.