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Finding the Fourth Proportional to 11,800.88, 17,692.98 and 4,778.82

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Solution

The fourth proportional to 11,800.88, 17,692.98 and 4,778.82 is: 7,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.88 : 17,692.98 = 4,778.82 : x
  2. Step 2: Convert to fraction form
    11,800.88/17,692.98 = 4,778.82/x
  3. Step 3: Cross multiply
    11,800.88x = 17,692.98 × 4,778.82
  4. Step 4: Simplify right side
    11,800.88x = 84,551,566.68
  5. Step 5: Solve for x
    x = 84,551,566.68/11,800.88
  6. Step 6: Final answer
    x = 7,164.86

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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.