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Finding the Fourth Proportional to 6,668.56, 10,003.20 and 1,738.36

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Solution

The fourth proportional to 6,668.56, 10,003.20 and 1,738.36 is: 2,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.56 : 10,003.20 = 1,738.36 : x
  2. Step 2: Convert to fraction form
    6,668.56/10,003.20 = 1,738.36/x
  3. Step 3: Cross multiply
    6,668.56x = 10,003.20 × 1,738.36
  4. Step 4: Simplify right side
    6,668.56x = 17,389,162.75
  5. Step 5: Solve for x
    x = 17,389,162.75/6,668.56
  6. Step 6: Final answer
    x = 2,607.63

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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.