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Finding the Fourth Proportional to 10,634, 15,954.36 and 4,791.12

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Solution

The fourth proportional to 10,634, 15,954.36 and 4,791.12 is: 7,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634 : 15,954.36 = 4,791.12 : x
  2. Step 2: Convert to fraction form
    10,634/15,954.36 = 4,791.12/x
  3. Step 3: Cross multiply
    10,634x = 15,954.36 × 4,791.12
  4. Step 4: Simplify right side
    10,634x = 76,439,253.28
  5. Step 5: Solve for x
    x = 76,439,253.28/10,634
  6. Step 6: Final answer
    x = 7,188.19

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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.