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Finding the Fourth Proportional to 18,183, 27,281.49 and 7,097.55

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Solution

The fourth proportional to 18,183, 27,281.49 and 7,097.55 is: 10,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,183 : 27,281.49 = 7,097.55 : x
  2. Step 2: Convert to fraction form
    18,183/27,281.49 = 7,097.55/x
  3. Step 3: Cross multiply
    18,183x = 27,281.49 × 7,097.55
  4. Step 4: Simplify right side
    18,183x = 193,631,739.35
  5. Step 5: Solve for x
    x = 193,631,739.35/18,183
  6. Step 6: Final answer
    x = 10,649.05

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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.