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Finding the Fourth Proportional to 10,692.37, 14,755.10 and 5,912.02

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Solution

The fourth proportional to 10,692.37, 14,755.10 and 5,912.02 is: 8,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.37 : 14,755.10 = 5,912.02 : x
  2. Step 2: Convert to fraction form
    10,692.37/14,755.10 = 5,912.02/x
  3. Step 3: Cross multiply
    10,692.37x = 14,755.10 × 5,912.02
  4. Step 4: Simplify right side
    10,692.37x = 87,232,435.19
  5. Step 5: Solve for x
    x = 87,232,435.19/10,692.37
  6. Step 6: Final answer
    x = 8,158.38

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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.