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Finding the Fourth Proportional to 6,679.94, 10,024 and 3,395.38

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Solution

The fourth proportional to 6,679.94, 10,024 and 3,395.38 is: 5,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.94 : 10,024 = 3,395.38 : x
  2. Step 2: Convert to fraction form
    6,679.94/10,024 = 3,395.38/x
  3. Step 3: Cross multiply
    6,679.94x = 10,024 × 3,395.38
  4. Step 4: Simplify right side
    6,679.94x = 34,035,289.12
  5. Step 5: Solve for x
    x = 34,035,289.12/6,679.94
  6. Step 6: Final answer
    x = 5,095.15

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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.