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Finding the Fourth Proportional to 6,745.35, 10,121.43 and 4,549.47

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Solution

The fourth proportional to 6,745.35, 10,121.43 and 4,549.47 is: 6,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.35 : 10,121.43 = 4,549.47 : x
  2. Step 2: Convert to fraction form
    6,745.35/10,121.43 = 4,549.47/x
  3. Step 3: Cross multiply
    6,745.35x = 10,121.43 × 4,549.47
  4. Step 4: Simplify right side
    6,745.35x = 46,047,142.14
  5. Step 5: Solve for x
    x = 46,047,142.14/6,745.35
  6. Step 6: Final answer
    x = 6,826.50

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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.