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Finding the Fourth Proportional to 6,856.44, 10,284.72 and 1,662.32

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Solution

The fourth proportional to 6,856.44, 10,284.72 and 1,662.32 is: 2,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.44 : 10,284.72 = 1,662.32 : x
  2. Step 2: Convert to fraction form
    6,856.44/10,284.72 = 1,662.32/x
  3. Step 3: Cross multiply
    6,856.44x = 10,284.72 × 1,662.32
  4. Step 4: Simplify right side
    6,856.44x = 17,096,436.02
  5. Step 5: Solve for x
    x = 17,096,436.02/6,856.44
  6. Step 6: Final answer
    x = 2,493.49

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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.