Home / 7,738.24-10,679-4,201.68

Finding the Fourth Proportional to 7,738.24, 10,679 and 4,201.68

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Solution

The fourth proportional to 7,738.24, 10,679 and 4,201.68 is: 5,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.24 : 10,679 = 4,201.68 : x
  2. Step 2: Convert to fraction form
    7,738.24/10,679 = 4,201.68/x
  3. Step 3: Cross multiply
    7,738.24x = 10,679 × 4,201.68
  4. Step 4: Simplify right side
    7,738.24x = 44,869,740.72
  5. Step 5: Solve for x
    x = 44,869,740.72/7,738.24
  6. Step 6: Final answer
    x = 5,798.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.