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Finding the Fourth Proportional to 6,499.44, 8,969.40 and 4,014

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Solution

The fourth proportional to 6,499.44, 8,969.40 and 4,014 is: 5,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.44 : 8,969.40 = 4,014 : x
  2. Step 2: Convert to fraction form
    6,499.44/8,969.40 = 4,014/x
  3. Step 3: Cross multiply
    6,499.44x = 8,969.40 × 4,014
  4. Step 4: Simplify right side
    6,499.44x = 36,003,171.60
  5. Step 5: Solve for x
    x = 36,003,171.60/6,499.44
  6. Step 6: Final answer
    x = 5,539.43

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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.