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Finding the Fourth Proportional to 11,498.50, 17,247.75 and 3,178.60

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Solution

The fourth proportional to 11,498.50, 17,247.75 and 3,178.60 is: 4,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.50 : 17,247.75 = 3,178.60 : x
  2. Step 2: Convert to fraction form
    11,498.50/17,247.75 = 3,178.60/x
  3. Step 3: Cross multiply
    11,498.50x = 17,247.75 × 3,178.60
  4. Step 4: Simplify right side
    11,498.50x = 54,823,698.15
  5. Step 5: Solve for x
    x = 54,823,698.15/11,498.50
  6. Step 6: Final answer
    x = 4,767.90

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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.