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Finding the Fourth Proportional to 11,783.88, 17,708.22 and 11,013.30

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Solution

The fourth proportional to 11,783.88, 17,708.22 and 11,013.30 is: 16,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.88 : 17,708.22 = 11,013.30 : x
  2. Step 2: Convert to fraction form
    11,783.88/17,708.22 = 11,013.30/x
  3. Step 3: Cross multiply
    11,783.88x = 17,708.22 × 11,013.30
  4. Step 4: Simplify right side
    11,783.88x = 195,025,939.33
  5. Step 5: Solve for x
    x = 195,025,939.33/11,783.88
  6. Step 6: Final answer
    x = 16,550.23

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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.