Home / 7,716.24-11,561.40-6,174

Finding the Fourth Proportional to 7,716.24, 11,561.40 and 6,174

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Solution

The fourth proportional to 7,716.24, 11,561.40 and 6,174 is: 9,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.24 : 11,561.40 = 6,174 : x
  2. Step 2: Convert to fraction form
    7,716.24/11,561.40 = 6,174/x
  3. Step 3: Cross multiply
    7,716.24x = 11,561.40 × 6,174
  4. Step 4: Simplify right side
    7,716.24x = 71,380,083.60
  5. Step 5: Solve for x
    x = 71,380,083.60/7,716.24
  6. Step 6: Final answer
    x = 9,250.63

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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.