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Finding the Fourth Proportional to 6,704.56, 10,057.65 and 2,320.84

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Solution

The fourth proportional to 6,704.56, 10,057.65 and 2,320.84 is: 3,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.56 : 10,057.65 = 2,320.84 : x
  2. Step 2: Convert to fraction form
    6,704.56/10,057.65 = 2,320.84/x
  3. Step 3: Cross multiply
    6,704.56x = 10,057.65 × 2,320.84
  4. Step 4: Simplify right side
    6,704.56x = 23,342,196.43
  5. Step 5: Solve for x
    x = 23,342,196.43/6,704.56
  6. Step 6: Final answer
    x = 3,481.54

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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.