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Finding the Fourth Proportional to 11,692.86, 16,130.82 and 6,975.42

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Solution

The fourth proportional to 11,692.86, 16,130.82 and 6,975.42 is: 9,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.86 : 16,130.82 = 6,975.42 : x
  2. Step 2: Convert to fraction form
    11,692.86/16,130.82 = 6,975.42/x
  3. Step 3: Cross multiply
    11,692.86x = 16,130.82 × 6,975.42
  4. Step 4: Simplify right side
    11,692.86x = 112,519,244.44
  5. Step 5: Solve for x
    x = 112,519,244.44/11,692.86
  6. Step 6: Final answer
    x = 9,622.90

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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.