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Finding the Fourth Proportional to 6,402.89, 9,600.20 and 2,704.13

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Solution

The fourth proportional to 6,402.89, 9,600.20 and 2,704.13 is: 4,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.89 : 9,600.20 = 2,704.13 : x
  2. Step 2: Convert to fraction form
    6,402.89/9,600.20 = 2,704.13/x
  3. Step 3: Cross multiply
    6,402.89x = 9,600.20 × 2,704.13
  4. Step 4: Simplify right side
    6,402.89x = 25,960,127.30
  5. Step 5: Solve for x
    x = 25,960,127.30/6,402.89
  6. Step 6: Final answer
    x = 4,054.44

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1.5x scale

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.