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Finding the Fourth Proportional to 6,814.94, 10,223.01 and 3,069.09

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Solution

The fourth proportional to 6,814.94, 10,223.01 and 3,069.09 is: 4,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.94 : 10,223.01 = 3,069.09 : x
  2. Step 2: Convert to fraction form
    6,814.94/10,223.01 = 3,069.09/x
  3. Step 3: Cross multiply
    6,814.94x = 10,223.01 × 3,069.09
  4. Step 4: Simplify right side
    6,814.94x = 31,375,337.76
  5. Step 5: Solve for x
    x = 31,375,337.76/6,814.94
  6. Step 6: Final answer
    x = 4,603.91

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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.