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Finding the Fourth Proportional to 18,193.81, 27,284.91 and 7,097.80

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Solution

The fourth proportional to 18,193.81, 27,284.91 and 7,097.80 is: 10,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193.81 : 27,284.91 = 7,097.80 : x
  2. Step 2: Convert to fraction form
    18,193.81/27,284.91 = 7,097.80/x
  3. Step 3: Cross multiply
    18,193.81x = 27,284.91 × 7,097.80
  4. Step 4: Simplify right side
    18,193.81x = 193,662,834.20
  5. Step 5: Solve for x
    x = 193,662,834.20/18,193.81
  6. Step 6: Final answer
    x = 10,644.44

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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.