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Finding the Fourth Proportional to 6,824.60, 10,236.90 and 2,207.60

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Solution

The fourth proportional to 6,824.60, 10,236.90 and 2,207.60 is: 3,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.60 : 10,236.90 = 2,207.60 : x
  2. Step 2: Convert to fraction form
    6,824.60/10,236.90 = 2,207.60/x
  3. Step 3: Cross multiply
    6,824.60x = 10,236.90 × 2,207.60
  4. Step 4: Simplify right side
    6,824.60x = 22,598,980.44
  5. Step 5: Solve for x
    x = 22,598,980.44/6,824.60
  6. Step 6: Final answer
    x = 3,311.40

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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.