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Finding the Fourth Proportional to 18,014.63, 27,003.10 and 6,164.42

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Solution

The fourth proportional to 18,014.63, 27,003.10 and 6,164.42 is: 9,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014.63 : 27,003.10 = 6,164.42 : x
  2. Step 2: Convert to fraction form
    18,014.63/27,003.10 = 6,164.42/x
  3. Step 3: Cross multiply
    18,014.63x = 27,003.10 × 6,164.42
  4. Step 4: Simplify right side
    18,014.63x = 166,458,449.70
  5. Step 5: Solve for x
    x = 166,458,449.70/18,014.63
  6. Step 6: Final answer
    x = 9,240.18

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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.