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Finding the Fourth Proportional to 6,057.44, 9,099.95 and 5,227.07

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Solution

The fourth proportional to 6,057.44, 9,099.95 and 5,227.07 is: 7,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.44 : 9,099.95 = 5,227.07 : x
  2. Step 2: Convert to fraction form
    6,057.44/9,099.95 = 5,227.07/x
  3. Step 3: Cross multiply
    6,057.44x = 9,099.95 × 5,227.07
  4. Step 4: Simplify right side
    6,057.44x = 47,566,004.01
  5. Step 5: Solve for x
    x = 47,566,004.01/6,057.44
  6. Step 6: Final answer
    x = 7,852.50

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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.