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Finding the Fourth Proportional to 9,796.22, 14,692.37 and 4,796.44

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Solution

The fourth proportional to 9,796.22, 14,692.37 and 4,796.44 is: 7,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.22 : 14,692.37 = 4,796.44 : x
  2. Step 2: Convert to fraction form
    9,796.22/14,692.37 = 4,796.44/x
  3. Step 3: Cross multiply
    9,796.22x = 14,692.37 × 4,796.44
  4. Step 4: Simplify right side
    9,796.22x = 70,471,099.41
  5. Step 5: Solve for x
    x = 70,471,099.41/9,796.22
  6. Step 6: Final answer
    x = 7,193.70

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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.