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Finding the Fourth Proportional to 6,651.41, 9,178.29 and 3,666.48

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Solution

The fourth proportional to 6,651.41, 9,178.29 and 3,666.48 is: 5,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.41 : 9,178.29 = 3,666.48 : x
  2. Step 2: Convert to fraction form
    6,651.41/9,178.29 = 3,666.48/x
  3. Step 3: Cross multiply
    6,651.41x = 9,178.29 × 3,666.48
  4. Step 4: Simplify right side
    6,651.41x = 33,652,016.72
  5. Step 5: Solve for x
    x = 33,652,016.72/6,651.41
  6. Step 6: Final answer
    x = 5,059.38

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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.