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Finding the Fourth Proportional to 6,678, 9,215.64 and 3,883.50

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Solution

The fourth proportional to 6,678, 9,215.64 and 3,883.50 is: 5,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678 : 9,215.64 = 3,883.50 : x
  2. Step 2: Convert to fraction form
    6,678/9,215.64 = 3,883.50/x
  3. Step 3: Cross multiply
    6,678x = 9,215.64 × 3,883.50
  4. Step 4: Simplify right side
    6,678x = 35,788,937.94
  5. Step 5: Solve for x
    x = 35,788,937.94/6,678
  6. Step 6: Final answer
    x = 5,359.23

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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.