Home / 4,646-6,968.44-1,183.28

Finding the Fourth Proportional to 4,646, 6,968.44 and 1,183.28

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Solution

The fourth proportional to 4,646, 6,968.44 and 1,183.28 is: 1,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646 : 6,968.44 = 1,183.28 : x
  2. Step 2: Convert to fraction form
    4,646/6,968.44 = 1,183.28/x
  3. Step 3: Cross multiply
    4,646x = 6,968.44 × 1,183.28
  4. Step 4: Simplify right side
    4,646x = 8,245,615.68
  5. Step 5: Solve for x
    x = 8,245,615.68/4,646
  6. Step 6: Final answer
    x = 1,774.78

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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.