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Finding the Fourth Proportional to 6,851.25, 10,278.50 and 2,234.25

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Solution

The fourth proportional to 6,851.25, 10,278.50 and 2,234.25 is: 3,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.25 : 10,278.50 = 2,234.25 : x
  2. Step 2: Convert to fraction form
    6,851.25/10,278.50 = 2,234.25/x
  3. Step 3: Cross multiply
    6,851.25x = 10,278.50 × 2,234.25
  4. Step 4: Simplify right side
    6,851.25x = 22,964,738.63
  5. Step 5: Solve for x
    x = 22,964,738.63/6,851.25
  6. Step 6: Final answer
    x = 3,351.90

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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.