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Finding the Fourth Proportional to 6,134.15, 9,207 and 3,214.50

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Solution

The fourth proportional to 6,134.15, 9,207 and 3,214.50 is: 4,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.15 : 9,207 = 3,214.50 : x
  2. Step 2: Convert to fraction form
    6,134.15/9,207 = 3,214.50/x
  3. Step 3: Cross multiply
    6,134.15x = 9,207 × 3,214.50
  4. Step 4: Simplify right side
    6,134.15x = 29,595,901.50
  5. Step 5: Solve for x
    x = 29,595,901.50/6,134.15
  6. Step 6: Final answer
    x = 4,824.78

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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.