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Finding the Fourth Proportional to 6,475.97, 9,713.97 and 2,096.49

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Solution

The fourth proportional to 6,475.97, 9,713.97 and 2,096.49 is: 3,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.97 : 9,713.97 = 2,096.49 : x
  2. Step 2: Convert to fraction form
    6,475.97/9,713.97 = 2,096.49/x
  3. Step 3: Cross multiply
    6,475.97x = 9,713.97 × 2,096.49
  4. Step 4: Simplify right side
    6,475.97x = 20,365,240.97
  5. Step 5: Solve for x
    x = 20,365,240.97/6,475.97
  6. Step 6: Final answer
    x = 3,144.74

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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.