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Finding the Fourth Proportional to 11,714.94, 17,559.90 and 5,467.68

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Solution

The fourth proportional to 11,714.94, 17,559.90 and 5,467.68 is: 8,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.94 : 17,559.90 = 5,467.68 : x
  2. Step 2: Convert to fraction form
    11,714.94/17,559.90 = 5,467.68/x
  3. Step 3: Cross multiply
    11,714.94x = 17,559.90 × 5,467.68
  4. Step 4: Simplify right side
    11,714.94x = 96,011,914.03
  5. Step 5: Solve for x
    x = 96,011,914.03/11,714.94
  6. Step 6: Final answer
    x = 8,195.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.