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Finding the Fourth Proportional to 13,414.14, 20,121.22 and 5,094.16

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Solution

The fourth proportional to 13,414.14, 20,121.22 and 5,094.16 is: 7,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.14 : 20,121.22 = 5,094.16 : x
  2. Step 2: Convert to fraction form
    13,414.14/20,121.22 = 5,094.16/x
  3. Step 3: Cross multiply
    13,414.14x = 20,121.22 × 5,094.16
  4. Step 4: Simplify right side
    13,414.14x = 102,500,714.08
  5. Step 5: Solve for x
    x = 102,500,714.08/13,414.14
  6. Step 6: Final answer
    x = 7,641.24

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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.