Home / 3,174.09-4,761.56-982.27

Finding the Fourth Proportional to 3,174.09, 4,761.56 and 982.27

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Solution

The fourth proportional to 3,174.09, 4,761.56 and 982.27 is: 1,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.09 : 4,761.56 = 982.27 : x
  2. Step 2: Convert to fraction form
    3,174.09/4,761.56 = 982.27/x
  3. Step 3: Cross multiply
    3,174.09x = 4,761.56 × 982.27
  4. Step 4: Simplify right side
    3,174.09x = 4,677,137.54
  5. Step 5: Solve for x
    x = 4,677,137.54/3,174.09
  6. Step 6: Final answer
    x = 1,473.54

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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.