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Finding the Fourth Proportional to 6,704.81, 10,057.10 and 2,322.20

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Solution

The fourth proportional to 6,704.81, 10,057.10 and 2,322.20 is: 3,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.81 : 10,057.10 = 2,322.20 : x
  2. Step 2: Convert to fraction form
    6,704.81/10,057.10 = 2,322.20/x
  3. Step 3: Cross multiply
    6,704.81x = 10,057.10 × 2,322.20
  4. Step 4: Simplify right side
    6,704.81x = 23,354,611.15
  5. Step 5: Solve for x
    x = 23,354,611.15/6,704.81
  6. Step 6: Final answer
    x = 3,483.26

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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.