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Finding the Fourth Proportional to 9,692.85, 13,377.60 and 5,918.22

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Solution

The fourth proportional to 9,692.85, 13,377.60 and 5,918.22 is: 8,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.85 : 13,377.60 = 5,918.22 : x
  2. Step 2: Convert to fraction form
    9,692.85/13,377.60 = 5,918.22/x
  3. Step 3: Cross multiply
    9,692.85x = 13,377.60 × 5,918.22
  4. Step 4: Simplify right side
    9,692.85x = 79,171,579.87
  5. Step 5: Solve for x
    x = 79,171,579.87/9,692.85
  6. Step 6: Final answer
    x = 8,168.04

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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.