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Finding the Fourth Proportional to 6,460.86, 9,692.31 and 2,763.11

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Solution

The fourth proportional to 6,460.86, 9,692.31 and 2,763.11 is: 4,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.86 : 9,692.31 = 2,763.11 : x
  2. Step 2: Convert to fraction form
    6,460.86/9,692.31 = 2,763.11/x
  3. Step 3: Cross multiply
    6,460.86x = 9,692.31 × 2,763.11
  4. Step 4: Simplify right side
    6,460.86x = 26,780,918.68
  5. Step 5: Solve for x
    x = 26,780,918.68/6,460.86
  6. Step 6: Final answer
    x = 4,145.10

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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.