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Finding the Fourth Proportional to 6,825.64, 10,224.06 and 6,747.88

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Solution

The fourth proportional to 6,825.64, 10,224.06 and 6,747.88 is: 10,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.64 : 10,224.06 = 6,747.88 : x
  2. Step 2: Convert to fraction form
    6,825.64/10,224.06 = 6,747.88/x
  3. Step 3: Cross multiply
    6,825.64x = 10,224.06 × 6,747.88
  4. Step 4: Simplify right side
    6,825.64x = 68,990,729.99
  5. Step 5: Solve for x
    x = 68,990,729.99/6,825.64
  6. Step 6: Final answer
    x = 10,107.58

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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.