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Finding the Fourth Proportional to 4,735.56, 7,104.03 and 1,448.22

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Solution

The fourth proportional to 4,735.56, 7,104.03 and 1,448.22 is: 2,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.56 : 7,104.03 = 1,448.22 : x
  2. Step 2: Convert to fraction form
    4,735.56/7,104.03 = 1,448.22/x
  3. Step 3: Cross multiply
    4,735.56x = 7,104.03 × 1,448.22
  4. Step 4: Simplify right side
    4,735.56x = 10,288,198.33
  5. Step 5: Solve for x
    x = 10,288,198.33/4,735.56
  6. Step 6: Final answer
    x = 2,172.54

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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.