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Finding the Fourth Proportional to 6,298.86, 8,692.56 and 3,466.38

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Solution

The fourth proportional to 6,298.86, 8,692.56 and 3,466.38 is: 4,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.86 : 8,692.56 = 3,466.38 : x
  2. Step 2: Convert to fraction form
    6,298.86/8,692.56 = 3,466.38/x
  3. Step 3: Cross multiply
    6,298.86x = 8,692.56 × 3,466.38
  4. Step 4: Simplify right side
    6,298.86x = 30,131,716.13
  5. Step 5: Solve for x
    x = 30,131,716.13/6,298.86
  6. Step 6: Final answer
    x = 4,783.68

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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.