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Finding the Fourth Proportional to 26,503.98, 39,755.94 and 6,782.55

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Solution

The fourth proportional to 26,503.98, 39,755.94 and 6,782.55 is: 10,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503.98 : 39,755.94 = 6,782.55 : x
  2. Step 2: Convert to fraction form
    26,503.98/39,755.94 = 6,782.55/x
  3. Step 3: Cross multiply
    26,503.98x = 39,755.94 × 6,782.55
  4. Step 4: Simplify right side
    26,503.98x = 269,646,650.85
  5. Step 5: Solve for x
    x = 269,646,650.85/26,503.98
  6. Step 6: Final answer
    x = 10,173.82

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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.