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Finding the Fourth Proportional to 6,782.08, 10,170.96 and 2,164

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Solution

The fourth proportional to 6,782.08, 10,170.96 and 2,164 is: 3,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.08 : 10,170.96 = 2,164 : x
  2. Step 2: Convert to fraction form
    6,782.08/10,170.96 = 2,164/x
  3. Step 3: Cross multiply
    6,782.08x = 10,170.96 × 2,164
  4. Step 4: Simplify right side
    6,782.08x = 22,009,957.44
  5. Step 5: Solve for x
    x = 22,009,957.44/6,782.08
  6. Step 6: Final answer
    x = 3,245.31

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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.