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Finding the Fourth Proportional to 6,460.76, 9,692.12 and 2,763

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Solution

The fourth proportional to 6,460.76, 9,692.12 and 2,763 is: 4,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.76 : 9,692.12 = 2,763 : x
  2. Step 2: Convert to fraction form
    6,460.76/9,692.12 = 2,763/x
  3. Step 3: Cross multiply
    6,460.76x = 9,692.12 × 2,763
  4. Step 4: Simplify right side
    6,460.76x = 26,779,327.56
  5. Step 5: Solve for x
    x = 26,779,327.56/6,460.76
  6. Step 6: Final answer
    x = 4,144.92

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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.