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Finding the Fourth Proportional to 11,620.22, 16,035.94 and 6,314.92

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Solution

The fourth proportional to 11,620.22, 16,035.94 and 6,314.92 is: 8,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.22 : 16,035.94 = 6,314.92 : x
  2. Step 2: Convert to fraction form
    11,620.22/16,035.94 = 6,314.92/x
  3. Step 3: Cross multiply
    11,620.22x = 16,035.94 × 6,314.92
  4. Step 4: Simplify right side
    11,620.22x = 101,265,678.22
  5. Step 5: Solve for x
    x = 101,265,678.22/11,620.22
  6. Step 6: Final answer
    x = 8,714.61

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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.