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Finding the Fourth Proportional to 6,857.60, 10,286.40 and 3,401.60

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Solution

The fourth proportional to 6,857.60, 10,286.40 and 3,401.60 is: 5,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.60 : 10,286.40 = 3,401.60 : x
  2. Step 2: Convert to fraction form
    6,857.60/10,286.40 = 3,401.60/x
  3. Step 3: Cross multiply
    6,857.60x = 10,286.40 × 3,401.60
  4. Step 4: Simplify right side
    6,857.60x = 34,990,218.24
  5. Step 5: Solve for x
    x = 34,990,218.24/6,857.60
  6. Step 6: Final answer
    x = 5,102.40

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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.