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Finding the Fourth Proportional to 6,692.72, 10,039.62 and 2,075.72

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Solution

The fourth proportional to 6,692.72, 10,039.62 and 2,075.72 is: 3,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.72 : 10,039.62 = 2,075.72 : x
  2. Step 2: Convert to fraction form
    6,692.72/10,039.62 = 2,075.72/x
  3. Step 3: Cross multiply
    6,692.72x = 10,039.62 × 2,075.72
  4. Step 4: Simplify right side
    6,692.72x = 20,839,440.03
  5. Step 5: Solve for x
    x = 20,839,440.03/6,692.72
  6. Step 6: Final answer
    x = 3,113.75

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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.