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Finding the Fourth Proportional to 7,692.50, 11,532.60 and 3,995.30

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Solution

The fourth proportional to 7,692.50, 11,532.60 and 3,995.30 is: 5,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.50 : 11,532.60 = 3,995.30 : x
  2. Step 2: Convert to fraction form
    7,692.50/11,532.60 = 3,995.30/x
  3. Step 3: Cross multiply
    7,692.50x = 11,532.60 × 3,995.30
  4. Step 4: Simplify right side
    7,692.50x = 46,076,196.78
  5. Step 5: Solve for x
    x = 46,076,196.78/7,692.50
  6. Step 6: Final answer
    x = 5,989.76

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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.