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Finding the Fourth Proportional to 6,704.65, 10,057.09 and 2,322.25

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Solution

The fourth proportional to 6,704.65, 10,057.09 and 2,322.25 is: 3,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.65 : 10,057.09 = 2,322.25 : x
  2. Step 2: Convert to fraction form
    6,704.65/10,057.09 = 2,322.25/x
  3. Step 3: Cross multiply
    6,704.65x = 10,057.09 × 2,322.25
  4. Step 4: Simplify right side
    6,704.65x = 23,355,077.25
  5. Step 5: Solve for x
    x = 23,355,077.25/6,704.65
  6. Step 6: Final answer
    x = 3,483.41

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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.