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Finding the Fourth Proportional to 13,167, 19,750.50 and 3,933

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Solution

The fourth proportional to 13,167, 19,750.50 and 3,933 is: 5,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167 : 19,750.50 = 3,933 : x
  2. Step 2: Convert to fraction form
    13,167/19,750.50 = 3,933/x
  3. Step 3: Cross multiply
    13,167x = 19,750.50 × 3,933
  4. Step 4: Simplify right side
    13,167x = 77,678,716.50
  5. Step 5: Solve for x
    x = 77,678,716.50/13,167
  6. Step 6: Final answer
    x = 5,899.50

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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.