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Finding the Fourth Proportional to 6,874.84, 10,288.90 and 4,244.02

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Solution

The fourth proportional to 6,874.84, 10,288.90 and 4,244.02 is: 6,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.84 : 10,288.90 = 4,244.02 : x
  2. Step 2: Convert to fraction form
    6,874.84/10,288.90 = 4,244.02/x
  3. Step 3: Cross multiply
    6,874.84x = 10,288.90 × 4,244.02
  4. Step 4: Simplify right side
    6,874.84x = 43,666,297.38
  5. Step 5: Solve for x
    x = 43,666,297.38/6,874.84
  6. Step 6: Final answer
    x = 6,351.61

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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.