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Finding the Fourth Proportional to 6,503.00, 9,755.73 and 2,607.71

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Solution

The fourth proportional to 6,503.00, 9,755.73 and 2,607.71 is: 3,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.00 : 9,755.73 = 2,607.71 : x
  2. Step 2: Convert to fraction form
    6,503.00/9,755.73 = 2,607.71/x
  3. Step 3: Cross multiply
    6,503.00x = 9,755.73 × 2,607.71
  4. Step 4: Simplify right side
    6,503.00x = 25,440,065.90
  5. Step 5: Solve for x
    x = 25,440,065.90/6,503.00
  6. Step 6: Final answer
    x = 3,912.05

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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.