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Finding the Fourth Proportional to 6,683.88, 9,219.86 and 4,326

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Solution

The fourth proportional to 6,683.88, 9,219.86 and 4,326 is: 5,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.88 : 9,219.86 = 4,326 : x
  2. Step 2: Convert to fraction form
    6,683.88/9,219.86 = 4,326/x
  3. Step 3: Cross multiply
    6,683.88x = 9,219.86 × 4,326
  4. Step 4: Simplify right side
    6,683.88x = 39,885,114.36
  5. Step 5: Solve for x
    x = 39,885,114.36/6,683.88
  6. Step 6: Final answer
    x = 5,967.36

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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.