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Finding the Fourth Proportional to 6,093.86, 9,142.44 and 1,934

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Solution

The fourth proportional to 6,093.86, 9,142.44 and 1,934 is: 2,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.86 : 9,142.44 = 1,934 : x
  2. Step 2: Convert to fraction form
    6,093.86/9,142.44 = 1,934/x
  3. Step 3: Cross multiply
    6,093.86x = 9,142.44 × 1,934
  4. Step 4: Simplify right side
    6,093.86x = 17,681,478.96
  5. Step 5: Solve for x
    x = 17,681,478.96/6,093.86
  6. Step 6: Final answer
    x = 2,901.52

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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.