Home / 4,660-6,986.96-2,469.76

Finding the Fourth Proportional to 4,660, 6,986.96 and 2,469.76

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Solution

The fourth proportional to 4,660, 6,986.96 and 2,469.76 is: 3,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660 : 6,986.96 = 2,469.76 : x
  2. Step 2: Convert to fraction form
    4,660/6,986.96 = 2,469.76/x
  3. Step 3: Cross multiply
    4,660x = 6,986.96 × 2,469.76
  4. Step 4: Simplify right side
    4,660x = 17,256,114.33
  5. Step 5: Solve for x
    x = 17,256,114.33/4,660
  6. Step 6: Final answer
    x = 3,703.03

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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.