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Finding the Fourth Proportional to 18,532.58, 27,813.47 and 6,849.14

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Solution

The fourth proportional to 18,532.58, 27,813.47 and 6,849.14 is: 10,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.58 : 27,813.47 = 6,849.14 : x
  2. Step 2: Convert to fraction form
    18,532.58/27,813.47 = 6,849.14/x
  3. Step 3: Cross multiply
    18,532.58x = 27,813.47 × 6,849.14
  4. Step 4: Simplify right side
    18,532.58x = 190,498,227.97
  5. Step 5: Solve for x
    x = 190,498,227.97/18,532.58
  6. Step 6: Final answer
    x = 10,279.10

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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.