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Finding the Fourth Proportional to 18,634.46, 27,941.96 and 6,938.06

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Solution

The fourth proportional to 18,634.46, 27,941.96 and 6,938.06 is: 10,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634.46 : 27,941.96 = 6,938.06 : x
  2. Step 2: Convert to fraction form
    18,634.46/27,941.96 = 6,938.06/x
  3. Step 3: Cross multiply
    18,634.46x = 27,941.96 × 6,938.06
  4. Step 4: Simplify right side
    18,634.46x = 193,862,872.63
  5. Step 5: Solve for x
    x = 193,862,872.63/18,634.46
  6. Step 6: Final answer
    x = 10,403.46

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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.