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Finding the Fourth Proportional to 6,173, 9,257.66 and 1,729.60

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Solution

The fourth proportional to 6,173, 9,257.66 and 1,729.60 is: 2,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173 : 9,257.66 = 1,729.60 : x
  2. Step 2: Convert to fraction form
    6,173/9,257.66 = 1,729.60/x
  3. Step 3: Cross multiply
    6,173x = 9,257.66 × 1,729.60
  4. Step 4: Simplify right side
    6,173x = 16,012,048.74
  5. Step 5: Solve for x
    x = 16,012,048.74/6,173
  6. Step 6: Final answer
    x = 2,593.88

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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.