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Finding the Fourth Proportional to 6,146.95, 9,219.16 and 1,763.43

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Solution

The fourth proportional to 6,146.95, 9,219.16 and 1,763.43 is: 2,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.95 : 9,219.16 = 1,763.43 : x
  2. Step 2: Convert to fraction form
    6,146.95/9,219.16 = 1,763.43/x
  3. Step 3: Cross multiply
    6,146.95x = 9,219.16 × 1,763.43
  4. Step 4: Simplify right side
    6,146.95x = 16,257,334.50
  5. Step 5: Solve for x
    x = 16,257,334.50/6,146.95
  6. Step 6: Final answer
    x = 2,644.78

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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.