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Finding the Fourth Proportional to 12,097, 18,145.50 and 3,889

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Solution

The fourth proportional to 12,097, 18,145.50 and 3,889 is: 5,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097 : 18,145.50 = 3,889 : x
  2. Step 2: Convert to fraction form
    12,097/18,145.50 = 3,889/x
  3. Step 3: Cross multiply
    12,097x = 18,145.50 × 3,889
  4. Step 4: Simplify right side
    12,097x = 70,567,849.50
  5. Step 5: Solve for x
    x = 70,567,849.50/12,097
  6. Step 6: Final answer
    x = 5,833.50

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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.