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Finding the Fourth Proportional to 7,692.94, 11,534.47 and 3,249.40

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Solution

The fourth proportional to 7,692.94, 11,534.47 and 3,249.40 is: 4,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.94 : 11,534.47 = 3,249.40 : x
  2. Step 2: Convert to fraction form
    7,692.94/11,534.47 = 3,249.40/x
  3. Step 3: Cross multiply
    7,692.94x = 11,534.47 × 3,249.40
  4. Step 4: Simplify right side
    7,692.94x = 37,480,049.15
  5. Step 5: Solve for x
    x = 37,480,049.15/7,692.94
  6. Step 6: Final answer
    x = 4,872.01

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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.