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Finding the Fourth Proportional to 8,305.98, 11,511.74 and 8,150.46

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Solution

The fourth proportional to 8,305.98, 11,511.74 and 8,150.46 is: 11,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.98 : 11,511.74 = 8,150.46 : x
  2. Step 2: Convert to fraction form
    8,305.98/11,511.74 = 8,150.46/x
  3. Step 3: Cross multiply
    8,305.98x = 11,511.74 × 8,150.46
  4. Step 4: Simplify right side
    8,305.98x = 93,825,935.65
  5. Step 5: Solve for x
    x = 93,825,935.65/8,305.98
  6. Step 6: Final answer
    x = 11,296.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.