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Finding the Fourth Proportional to 6,193.96, 9,294.54 and 2,496.52

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Solution

The fourth proportional to 6,193.96, 9,294.54 and 2,496.52 is: 3,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.96 : 9,294.54 = 2,496.52 : x
  2. Step 2: Convert to fraction form
    6,193.96/9,294.54 = 2,496.52/x
  3. Step 3: Cross multiply
    6,193.96x = 9,294.54 × 2,496.52
  4. Step 4: Simplify right side
    6,193.96x = 23,204,005.00
  5. Step 5: Solve for x
    x = 23,204,005.00/6,193.96
  6. Step 6: Final answer
    x = 3,746.23

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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.