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Finding the Fourth Proportional to 6,856.82, 10,283.69 and 3,155.50

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Solution

The fourth proportional to 6,856.82, 10,283.69 and 3,155.50 is: 4,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.82 : 10,283.69 = 3,155.50 : x
  2. Step 2: Convert to fraction form
    6,856.82/10,283.69 = 3,155.50/x
  3. Step 3: Cross multiply
    6,856.82x = 10,283.69 × 3,155.50
  4. Step 4: Simplify right side
    6,856.82x = 32,450,116.60
  5. Step 5: Solve for x
    x = 32,450,116.60/6,856.82
  6. Step 6: Final answer
    x = 4,732.53

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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.