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Finding the Fourth Proportional to 6,523.80, 9,782.10 and 2,623.80

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Solution

The fourth proportional to 6,523.80, 9,782.10 and 2,623.80 is: 3,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.80 : 9,782.10 = 2,623.80 : x
  2. Step 2: Convert to fraction form
    6,523.80/9,782.10 = 2,623.80/x
  3. Step 3: Cross multiply
    6,523.80x = 9,782.10 × 2,623.80
  4. Step 4: Simplify right side
    6,523.80x = 25,666,273.98
  5. Step 5: Solve for x
    x = 25,666,273.98/6,523.80
  6. Step 6: Final answer
    x = 3,934.25

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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.