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Finding the Fourth Proportional to 13,772.42, 19,007.56 and 8,183.42

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Solution

The fourth proportional to 13,772.42, 19,007.56 and 8,183.42 is: 11,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.42 : 19,007.56 = 8,183.42 : x
  2. Step 2: Convert to fraction form
    13,772.42/19,007.56 = 8,183.42/x
  3. Step 3: Cross multiply
    13,772.42x = 19,007.56 × 8,183.42
  4. Step 4: Simplify right side
    13,772.42x = 155,546,846.66
  5. Step 5: Solve for x
    x = 155,546,846.66/13,772.42
  6. Step 6: Final answer
    x = 11,294.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.