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Finding the Fourth Proportional to 6,745.70, 10,118.49 and 3,784.14

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Solution

The fourth proportional to 6,745.70, 10,118.49 and 3,784.14 is: 5,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.70 : 10,118.49 = 3,784.14 : x
  2. Step 2: Convert to fraction form
    6,745.70/10,118.49 = 3,784.14/x
  3. Step 3: Cross multiply
    6,745.70x = 10,118.49 × 3,784.14
  4. Step 4: Simplify right side
    6,745.70x = 38,289,782.75
  5. Step 5: Solve for x
    x = 38,289,782.75/6,745.70
  6. Step 6: Final answer
    x = 5,676.17

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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.