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Finding the Fourth Proportional to 6,402.50, 9,588.27 and 3,107.42

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Solution

The fourth proportional to 6,402.50, 9,588.27 and 3,107.42 is: 4,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.50 : 9,588.27 = 3,107.42 : x
  2. Step 2: Convert to fraction form
    6,402.50/9,588.27 = 3,107.42/x
  3. Step 3: Cross multiply
    6,402.50x = 9,588.27 × 3,107.42
  4. Step 4: Simplify right side
    6,402.50x = 29,794,781.96
  5. Step 5: Solve for x
    x = 29,794,781.96/6,402.50
  6. Step 6: Final answer
    x = 4,653.62

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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.