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Finding the Fourth Proportional to 6,896.92, 9,511.13 and 4,633.38

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Solution

The fourth proportional to 6,896.92, 9,511.13 and 4,633.38 is: 6,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.92 : 9,511.13 = 4,633.38 : x
  2. Step 2: Convert to fraction form
    6,896.92/9,511.13 = 4,633.38/x
  3. Step 3: Cross multiply
    6,896.92x = 9,511.13 × 4,633.38
  4. Step 4: Simplify right side
    6,896.92x = 44,068,679.52
  5. Step 5: Solve for x
    x = 44,068,679.52/6,896.92
  6. Step 6: Final answer
    x = 6,389.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.