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Finding the Fourth Proportional to 5,692.68, 8,524.98 and 5,174.82

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Solution

The fourth proportional to 5,692.68, 8,524.98 and 5,174.82 is: 7,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.68 : 8,524.98 = 5,174.82 : x
  2. Step 2: Convert to fraction form
    5,692.68/8,524.98 = 5,174.82/x
  3. Step 3: Cross multiply
    5,692.68x = 8,524.98 × 5,174.82
  4. Step 4: Simplify right side
    5,692.68x = 44,115,237.00
  5. Step 5: Solve for x
    x = 44,115,237.00/5,692.68
  6. Step 6: Final answer
    x = 7,749.47

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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.