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Finding the Fourth Proportional to 6,137.64, 9,208.98 and 3,217.86

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Solution

The fourth proportional to 6,137.64, 9,208.98 and 3,217.86 is: 4,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.64 : 9,208.98 = 3,217.86 : x
  2. Step 2: Convert to fraction form
    6,137.64/9,208.98 = 3,217.86/x
  3. Step 3: Cross multiply
    6,137.64x = 9,208.98 × 3,217.86
  4. Step 4: Simplify right side
    6,137.64x = 29,633,208.38
  5. Step 5: Solve for x
    x = 29,633,208.38/6,137.64
  6. Step 6: Final answer
    x = 4,828.11

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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.