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Finding the Fourth Proportional to 12,069.75, 16,655.97 and 6,692.16

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Solution

The fourth proportional to 12,069.75, 16,655.97 and 6,692.16 is: 9,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.75 : 16,655.97 = 6,692.16 : x
  2. Step 2: Convert to fraction form
    12,069.75/16,655.97 = 6,692.16/x
  3. Step 3: Cross multiply
    12,069.75x = 16,655.97 × 6,692.16
  4. Step 4: Simplify right side
    12,069.75x = 111,464,416.20
  5. Step 5: Solve for x
    x = 111,464,416.20/12,069.75
  6. Step 6: Final answer
    x = 9,235.02

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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.