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Finding the Fourth Proportional to 6,581.71, 9,856.57 and 3,464.36

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Solution

The fourth proportional to 6,581.71, 9,856.57 and 3,464.36 is: 5,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.71 : 9,856.57 = 3,464.36 : x
  2. Step 2: Convert to fraction form
    6,581.71/9,856.57 = 3,464.36/x
  3. Step 3: Cross multiply
    6,581.71x = 9,856.57 × 3,464.36
  4. Step 4: Simplify right side
    6,581.71x = 34,146,706.85
  5. Step 5: Solve for x
    x = 34,146,706.85/6,581.71
  6. Step 6: Final answer
    x = 5,188.12

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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.