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Finding the Fourth Proportional to 8,902.14, 13,351.20 and 3,968.63

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Solution

The fourth proportional to 8,902.14, 13,351.20 and 3,968.63 is: 5,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.14 : 13,351.20 = 3,968.63 : x
  2. Step 2: Convert to fraction form
    8,902.14/13,351.20 = 3,968.63/x
  3. Step 3: Cross multiply
    8,902.14x = 13,351.20 × 3,968.63
  4. Step 4: Simplify right side
    8,902.14x = 52,985,972.86
  5. Step 5: Solve for x
    x = 52,985,972.86/8,902.14
  6. Step 6: Final answer
    x = 5,952.05

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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.