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Finding the Fourth Proportional to 6,124.89, 9,192.67 and 3,497.66

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Solution

The fourth proportional to 6,124.89, 9,192.67 and 3,497.66 is: 5,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.89 : 9,192.67 = 3,497.66 : x
  2. Step 2: Convert to fraction form
    6,124.89/9,192.67 = 3,497.66/x
  3. Step 3: Cross multiply
    6,124.89x = 9,192.67 × 3,497.66
  4. Step 4: Simplify right side
    6,124.89x = 32,152,779.44
  5. Step 5: Solve for x
    x = 32,152,779.44/6,124.89
  6. Step 6: Final answer
    x = 5,249.53

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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.