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Finding the Fourth Proportional to 19,692.54, 29,537.01 and 6,546.42

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Solution

The fourth proportional to 19,692.54, 29,537.01 and 6,546.42 is: 9,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.54 : 29,537.01 = 6,546.42 : x
  2. Step 2: Convert to fraction form
    19,692.54/29,537.01 = 6,546.42/x
  3. Step 3: Cross multiply
    19,692.54x = 29,537.01 × 6,546.42
  4. Step 4: Simplify right side
    19,692.54x = 193,361,673.00
  5. Step 5: Solve for x
    x = 193,361,673.00/19,692.54
  6. Step 6: Final answer
    x = 9,819.03

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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.