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Finding the Fourth Proportional to 11,763.80, 17,645.70 and 6,234.20

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Solution

The fourth proportional to 11,763.80, 17,645.70 and 6,234.20 is: 9,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.80 : 17,645.70 = 6,234.20 : x
  2. Step 2: Convert to fraction form
    11,763.80/17,645.70 = 6,234.20/x
  3. Step 3: Cross multiply
    11,763.80x = 17,645.70 × 6,234.20
  4. Step 4: Simplify right side
    11,763.80x = 110,006,822.94
  5. Step 5: Solve for x
    x = 110,006,822.94/11,763.80
  6. Step 6: Final answer
    x = 9,351.30

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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.