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Finding the Fourth Proportional to 8,362.58, 12,448.32 and 8,237.97

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Solution

The fourth proportional to 8,362.58, 12,448.32 and 8,237.97 is: 12,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.58 : 12,448.32 = 8,237.97 : x
  2. Step 2: Convert to fraction form
    8,362.58/12,448.32 = 8,237.97/x
  3. Step 3: Cross multiply
    8,362.58x = 12,448.32 × 8,237.97
  4. Step 4: Simplify right side
    8,362.58x = 102,548,855.82
  5. Step 5: Solve for x
    x = 102,548,855.82/8,362.58
  6. Step 6: Final answer
    x = 12,262.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.