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Finding the Fourth Proportional to 13,714.14, 18,924.54 and 8,049.13

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Solution

The fourth proportional to 13,714.14, 18,924.54 and 8,049.13 is: 11,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.14 : 18,924.54 = 8,049.13 : x
  2. Step 2: Convert to fraction form
    13,714.14/18,924.54 = 8,049.13/x
  3. Step 3: Cross multiply
    13,714.14x = 18,924.54 × 8,049.13
  4. Step 4: Simplify right side
    13,714.14x = 152,326,005.15
  5. Step 5: Solve for x
    x = 152,326,005.15/13,714.14
  6. Step 6: Final answer
    x = 11,107.22

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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.