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Finding the Fourth Proportional to 6,049.96, 9,076.76 and 5,005.24

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Solution

The fourth proportional to 6,049.96, 9,076.76 and 5,005.24 is: 7,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.96 : 9,076.76 = 5,005.24 : x
  2. Step 2: Convert to fraction form
    6,049.96/9,076.76 = 5,005.24/x
  3. Step 3: Cross multiply
    6,049.96x = 9,076.76 × 5,005.24
  4. Step 4: Simplify right side
    6,049.96x = 45,431,362.22
  5. Step 5: Solve for x
    x = 45,431,362.22/6,049.96
  6. Step 6: Final answer
    x = 7,509.37

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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.