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Finding the Fourth Proportional to 15,855.14, 23,783.73 and 5,324.73

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Solution

The fourth proportional to 15,855.14, 23,783.73 and 5,324.73 is: 7,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.14 : 23,783.73 = 5,324.73 : x
  2. Step 2: Convert to fraction form
    15,855.14/23,783.73 = 5,324.73/x
  3. Step 3: Cross multiply
    15,855.14x = 23,783.73 × 5,324.73
  4. Step 4: Simplify right side
    15,855.14x = 126,641,940.64
  5. Step 5: Solve for x
    x = 126,641,940.64/15,855.14
  6. Step 6: Final answer
    x = 7,987.44

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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.