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Finding the Fourth Proportional to 13,798.98, 20,692.89 and 7,221.69

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Solution

The fourth proportional to 13,798.98, 20,692.89 and 7,221.69 is: 10,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.98 : 20,692.89 = 7,221.69 : x
  2. Step 2: Convert to fraction form
    13,798.98/20,692.89 = 7,221.69/x
  3. Step 3: Cross multiply
    13,798.98x = 20,692.89 × 7,221.69
  4. Step 4: Simplify right side
    13,798.98x = 149,437,636.78
  5. Step 5: Solve for x
    x = 149,437,636.78/13,798.98
  6. Step 6: Final answer
    x = 10,829.61

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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.