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Finding the Fourth Proportional to 6,172.75, 9,259.13 and 1,555.75

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Solution

The fourth proportional to 6,172.75, 9,259.13 and 1,555.75 is: 2,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.75 : 9,259.13 = 1,555.75 : x
  2. Step 2: Convert to fraction form
    6,172.75/9,259.13 = 1,555.75/x
  3. Step 3: Cross multiply
    6,172.75x = 9,259.13 × 1,555.75
  4. Step 4: Simplify right side
    6,172.75x = 14,404,891.50
  5. Step 5: Solve for x
    x = 14,404,891.50/6,172.75
  6. Step 6: Final answer
    x = 2,333.63

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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.