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Finding the Fourth Proportional to 6,091.74, 9,138.99 and 1,932

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Solution

The fourth proportional to 6,091.74, 9,138.99 and 1,932 is: 2,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.74 : 9,138.99 = 1,932 : x
  2. Step 2: Convert to fraction form
    6,091.74/9,138.99 = 1,932/x
  3. Step 3: Cross multiply
    6,091.74x = 9,138.99 × 1,932
  4. Step 4: Simplify right side
    6,091.74x = 17,656,528.68
  5. Step 5: Solve for x
    x = 17,656,528.68/6,091.74
  6. Step 6: Final answer
    x = 2,898.44

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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.