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Finding the Fourth Proportional to 6,103.94, 9,139.50 and 5,021.37

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Solution

The fourth proportional to 6,103.94, 9,139.50 and 5,021.37 is: 7,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.94 : 9,139.50 = 5,021.37 : x
  2. Step 2: Convert to fraction form
    6,103.94/9,139.50 = 5,021.37/x
  3. Step 3: Cross multiply
    6,103.94x = 9,139.50 × 5,021.37
  4. Step 4: Simplify right side
    6,103.94x = 45,892,811.12
  5. Step 5: Solve for x
    x = 45,892,811.12/6,103.94
  6. Step 6: Final answer
    x = 7,518.56

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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.