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Finding the Fourth Proportional to 6,466.95, 9,692.19 and 2,768.22

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Solution

The fourth proportional to 6,466.95, 9,692.19 and 2,768.22 is: 4,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.95 : 9,692.19 = 2,768.22 : x
  2. Step 2: Convert to fraction form
    6,466.95/9,692.19 = 2,768.22/x
  3. Step 3: Cross multiply
    6,466.95x = 9,692.19 × 2,768.22
  4. Step 4: Simplify right side
    6,466.95x = 26,830,114.20
  5. Step 5: Solve for x
    x = 26,830,114.20/6,466.95
  6. Step 6: Final answer
    x = 4,148.80

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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.