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Finding the Fourth Proportional to 6,504.46, 9,755.59 and 1,823.39

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Solution

The fourth proportional to 6,504.46, 9,755.59 and 1,823.39 is: 2,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.46 : 9,755.59 = 1,823.39 : x
  2. Step 2: Convert to fraction form
    6,504.46/9,755.59 = 1,823.39/x
  3. Step 3: Cross multiply
    6,504.46x = 9,755.59 × 1,823.39
  4. Step 4: Simplify right side
    6,504.46x = 17,788,265.08
  5. Step 5: Solve for x
    x = 17,788,265.08/6,504.46
  6. Step 6: Final answer
    x = 2,734.78

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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.