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Finding the Fourth Proportional to 6,692.38, 10,037.49 and 2,075.02

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Solution

The fourth proportional to 6,692.38, 10,037.49 and 2,075.02 is: 3,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.38 : 10,037.49 = 2,075.02 : x
  2. Step 2: Convert to fraction form
    6,692.38/10,037.49 = 2,075.02/x
  3. Step 3: Cross multiply
    6,692.38x = 10,037.49 × 2,075.02
  4. Step 4: Simplify right side
    6,692.38x = 20,827,992.50
  5. Step 5: Solve for x
    x = 20,827,992.50/6,692.38
  6. Step 6: Final answer
    x = 3,112.20

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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.