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Finding the Fourth Proportional to 6,893.66, 10,334.30 and 2,730.86

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Solution

The fourth proportional to 6,893.66, 10,334.30 and 2,730.86 is: 4,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.66 : 10,334.30 = 2,730.86 : x
  2. Step 2: Convert to fraction form
    6,893.66/10,334.30 = 2,730.86/x
  3. Step 3: Cross multiply
    6,893.66x = 10,334.30 × 2,730.86
  4. Step 4: Simplify right side
    6,893.66x = 28,221,526.50
  5. Step 5: Solve for x
    x = 28,221,526.50/6,893.66
  6. Step 6: Final answer
    x = 4,093.84

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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.