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Finding the Fourth Proportional to 11,146, 16,719.96 and 2,938

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Solution

The fourth proportional to 11,146, 16,719.96 and 2,938 is: 4,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146 : 16,719.96 = 2,938 : x
  2. Step 2: Convert to fraction form
    11,146/16,719.96 = 2,938/x
  3. Step 3: Cross multiply
    11,146x = 16,719.96 × 2,938
  4. Step 4: Simplify right side
    11,146x = 49,123,242.48
  5. Step 5: Solve for x
    x = 49,123,242.48/11,146
  6. Step 6: Final answer
    x = 4,407.25

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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.