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Finding the Fourth Proportional to 8,446.68, 11,657.41 and 7,027.86

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Solution

The fourth proportional to 8,446.68, 11,657.41 and 7,027.86 is: 9,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.68 : 11,657.41 = 7,027.86 : x
  2. Step 2: Convert to fraction form
    8,446.68/11,657.41 = 7,027.86/x
  3. Step 3: Cross multiply
    8,446.68x = 11,657.41 × 7,027.86
  4. Step 4: Simplify right side
    8,446.68x = 81,926,645.44
  5. Step 5: Solve for x
    x = 81,926,645.44/8,446.68
  6. Step 6: Final answer
    x = 9,699.27

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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.