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Finding the Fourth Proportional to 6,137, 8,469.06 and 3,342.50

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Solution

The fourth proportional to 6,137, 8,469.06 and 3,342.50 is: 4,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137 : 8,469.06 = 3,342.50 : x
  2. Step 2: Convert to fraction form
    6,137/8,469.06 = 3,342.50/x
  3. Step 3: Cross multiply
    6,137x = 8,469.06 × 3,342.50
  4. Step 4: Simplify right side
    6,137x = 28,307,833.05
  5. Step 5: Solve for x
    x = 28,307,833.05/6,137
  6. Step 6: Final answer
    x = 4,612.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.