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Finding the Fourth Proportional to 6,619.40, 9,912.90 and 4,416.20

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Solution

The fourth proportional to 6,619.40, 9,912.90 and 4,416.20 is: 6,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619.40 : 9,912.90 = 4,416.20 : x
  2. Step 2: Convert to fraction form
    6,619.40/9,912.90 = 4,416.20/x
  3. Step 3: Cross multiply
    6,619.40x = 9,912.90 × 4,416.20
  4. Step 4: Simplify right side
    6,619.40x = 43,777,348.98
  5. Step 5: Solve for x
    x = 43,777,348.98/6,619.40
  6. Step 6: Final answer
    x = 6,613.49

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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.