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Finding the Fourth Proportional to 6,893.75, 10,345.52 and 2,734.65

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Solution

The fourth proportional to 6,893.75, 10,345.52 and 2,734.65 is: 4,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.75 : 10,345.52 = 2,734.65 : x
  2. Step 2: Convert to fraction form
    6,893.75/10,345.52 = 2,734.65/x
  3. Step 3: Cross multiply
    6,893.75x = 10,345.52 × 2,734.65
  4. Step 4: Simplify right side
    6,893.75x = 28,291,362.59
  5. Step 5: Solve for x
    x = 28,291,362.59/6,893.75
  6. Step 6: Final answer
    x = 4,103.92

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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.