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Finding the Fourth Proportional to 6,666, 9,202.80 and 4,014

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Solution

The fourth proportional to 6,666, 9,202.80 and 4,014 is: 5,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666 : 9,202.80 = 4,014 : x
  2. Step 2: Convert to fraction form
    6,666/9,202.80 = 4,014/x
  3. Step 3: Cross multiply
    6,666x = 9,202.80 × 4,014
  4. Step 4: Simplify right side
    6,666x = 36,940,039.20
  5. Step 5: Solve for x
    x = 36,940,039.20/6,666
  6. Step 6: Final answer
    x = 5,541.56

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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.