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Finding the Fourth Proportional to 10,130.70, 13,974.75 and 5,938.14

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Solution

The fourth proportional to 10,130.70, 13,974.75 and 5,938.14 is: 8,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.70 : 13,974.75 = 5,938.14 : x
  2. Step 2: Convert to fraction form
    10,130.70/13,974.75 = 5,938.14/x
  3. Step 3: Cross multiply
    10,130.70x = 13,974.75 × 5,938.14
  4. Step 4: Simplify right side
    10,130.70x = 82,984,021.97
  5. Step 5: Solve for x
    x = 82,984,021.97/10,130.70
  6. Step 6: Final answer
    x = 8,191.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.