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Finding the Fourth Proportional to 6,504.08, 9,755.02 and 1,823.01

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Solution

The fourth proportional to 6,504.08, 9,755.02 and 1,823.01 is: 2,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.08 : 9,755.02 = 1,823.01 : x
  2. Step 2: Convert to fraction form
    6,504.08/9,755.02 = 1,823.01/x
  3. Step 3: Cross multiply
    6,504.08x = 9,755.02 × 1,823.01
  4. Step 4: Simplify right side
    6,504.08x = 17,783,537.87
  5. Step 5: Solve for x
    x = 17,783,537.87/6,504.08
  6. Step 6: Final answer
    x = 2,734.21

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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.