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Finding the Fourth Proportional to 7,077, 10,615.50 and 3,999.24

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Solution

The fourth proportional to 7,077, 10,615.50 and 3,999.24 is: 5,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077 : 10,615.50 = 3,999.24 : x
  2. Step 2: Convert to fraction form
    7,077/10,615.50 = 3,999.24/x
  3. Step 3: Cross multiply
    7,077x = 10,615.50 × 3,999.24
  4. Step 4: Simplify right side
    7,077x = 42,453,932.22
  5. Step 5: Solve for x
    x = 42,453,932.22/7,077
  6. Step 6: Final answer
    x = 5,998.86

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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.