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Finding the Fourth Proportional to 10,123, 15,184.74 and 3,967

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Solution

The fourth proportional to 10,123, 15,184.74 and 3,967 is: 5,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123 : 15,184.74 = 3,967 : x
  2. Step 2: Convert to fraction form
    10,123/15,184.74 = 3,967/x
  3. Step 3: Cross multiply
    10,123x = 15,184.74 × 3,967
  4. Step 4: Simplify right side
    10,123x = 60,237,863.58
  5. Step 5: Solve for x
    x = 60,237,863.58/10,123
  6. Step 6: Final answer
    x = 5,950.59

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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.