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Finding the Fourth Proportional to 9,198.88, 12,692.22 and 5,840.50

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Solution

The fourth proportional to 9,198.88, 12,692.22 and 5,840.50 is: 8,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.88 : 12,692.22 = 5,840.50 : x
  2. Step 2: Convert to fraction form
    9,198.88/12,692.22 = 5,840.50/x
  3. Step 3: Cross multiply
    9,198.88x = 12,692.22 × 5,840.50
  4. Step 4: Simplify right side
    9,198.88x = 74,128,910.91
  5. Step 5: Solve for x
    x = 74,128,910.91/9,198.88
  6. Step 6: Final answer
    x = 8,058.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.