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Finding the Fourth Proportional to 6,967, 9,614.30 and 3,858.94

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Solution

The fourth proportional to 6,967, 9,614.30 and 3,858.94 is: 5,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967 : 9,614.30 = 3,858.94 : x
  2. Step 2: Convert to fraction form
    6,967/9,614.30 = 3,858.94/x
  3. Step 3: Cross multiply
    6,967x = 9,614.30 × 3,858.94
  4. Step 4: Simplify right side
    6,967x = 37,101,006.84
  5. Step 5: Solve for x
    x = 37,101,006.84/6,967
  6. Step 6: Final answer
    x = 5,325.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.