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Finding the Fourth Proportional to 6,790.50, 10,185.75 and 2,173.50

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Solution

The fourth proportional to 6,790.50, 10,185.75 and 2,173.50 is: 3,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.50 : 10,185.75 = 2,173.50 : x
  2. Step 2: Convert to fraction form
    6,790.50/10,185.75 = 2,173.50/x
  3. Step 3: Cross multiply
    6,790.50x = 10,185.75 × 2,173.50
  4. Step 4: Simplify right side
    6,790.50x = 22,138,727.63
  5. Step 5: Solve for x
    x = 22,138,727.63/6,790.50
  6. Step 6: Final answer
    x = 3,260.25

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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.