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Finding the Fourth Proportional to 18,175, 27,262.50 and 5,863

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Solution

The fourth proportional to 18,175, 27,262.50 and 5,863 is: 8,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,175 : 27,262.50 = 5,863 : x
  2. Step 2: Convert to fraction form
    18,175/27,262.50 = 5,863/x
  3. Step 3: Cross multiply
    18,175x = 27,262.50 × 5,863
  4. Step 4: Simplify right side
    18,175x = 159,840,037.50
  5. Step 5: Solve for x
    x = 159,840,037.50/18,175
  6. Step 6: Final answer
    x = 8,794.50

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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.