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Finding the Fourth Proportional to 6,692.96, 10,025.81 and 3,172.30

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Solution

The fourth proportional to 6,692.96, 10,025.81 and 3,172.30 is: 4,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.96 : 10,025.81 = 3,172.30 : x
  2. Step 2: Convert to fraction form
    6,692.96/10,025.81 = 3,172.30/x
  3. Step 3: Cross multiply
    6,692.96x = 10,025.81 × 3,172.30
  4. Step 4: Simplify right side
    6,692.96x = 31,804,811.07
  5. Step 5: Solve for x
    x = 31,804,811.07/6,692.96
  6. Step 6: Final answer
    x = 4,751.98

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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.