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Finding the Fourth Proportional to 6,841.92, 10,261.76 and 3,144

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Solution

The fourth proportional to 6,841.92, 10,261.76 and 3,144 is: 4,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.92 : 10,261.76 = 3,144 : x
  2. Step 2: Convert to fraction form
    6,841.92/10,261.76 = 3,144/x
  3. Step 3: Cross multiply
    6,841.92x = 10,261.76 × 3,144
  4. Step 4: Simplify right side
    6,841.92x = 32,262,973.44
  5. Step 5: Solve for x
    x = 32,262,973.44/6,841.92
  6. Step 6: Final answer
    x = 4,715.49

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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.