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Finding the Fourth Proportional to 6,192.75, 9,290.34 and 2,730

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Solution

The fourth proportional to 6,192.75, 9,290.34 and 2,730 is: 4,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.75 : 9,290.34 = 2,730 : x
  2. Step 2: Convert to fraction form
    6,192.75/9,290.34 = 2,730/x
  3. Step 3: Cross multiply
    6,192.75x = 9,290.34 × 2,730
  4. Step 4: Simplify right side
    6,192.75x = 25,362,628.20
  5. Step 5: Solve for x
    x = 25,362,628.20/6,192.75
  6. Step 6: Final answer
    x = 4,095.54

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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.