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Finding the Fourth Proportional to 7,896.14, 10,896.49 and 4,311.16

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Solution

The fourth proportional to 7,896.14, 10,896.49 and 4,311.16 is: 5,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.14 : 10,896.49 = 4,311.16 : x
  2. Step 2: Convert to fraction form
    7,896.14/10,896.49 = 4,311.16/x
  3. Step 3: Cross multiply
    7,896.14x = 10,896.49 × 4,311.16
  4. Step 4: Simplify right side
    7,896.14x = 46,976,511.83
  5. Step 5: Solve for x
    x = 46,976,511.83/7,896.14
  6. Step 6: Final answer
    x = 5,949.30

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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.