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Finding the Fourth Proportional to 6,027.99, 9,040.62 and 1,645.80

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Solution

The fourth proportional to 6,027.99, 9,040.62 and 1,645.80 is: 2,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.99 : 9,040.62 = 1,645.80 : x
  2. Step 2: Convert to fraction form
    6,027.99/9,040.62 = 1,645.80/x
  3. Step 3: Cross multiply
    6,027.99x = 9,040.62 × 1,645.80
  4. Step 4: Simplify right side
    6,027.99x = 14,879,052.40
  5. Step 5: Solve for x
    x = 14,879,052.40/6,027.99
  6. Step 6: Final answer
    x = 2,468.33

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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.