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Finding the Fourth Proportional to 6,940.82, 10,401.31 and 6,566.60

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Solution

The fourth proportional to 6,940.82, 10,401.31 and 6,566.60 is: 9,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.82 : 10,401.31 = 6,566.60 : x
  2. Step 2: Convert to fraction form
    6,940.82/10,401.31 = 6,566.60/x
  3. Step 3: Cross multiply
    6,940.82x = 10,401.31 × 6,566.60
  4. Step 4: Simplify right side
    6,940.82x = 68,301,276.46
  5. Step 5: Solve for x
    x = 68,301,276.46/6,940.82
  6. Step 6: Final answer
    x = 9,840.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.