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Finding the Fourth Proportional to 6,509.21, 9,763.81 and 1,829.03

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Solution

The fourth proportional to 6,509.21, 9,763.81 and 1,829.03 is: 2,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.21 : 9,763.81 = 1,829.03 : x
  2. Step 2: Convert to fraction form
    6,509.21/9,763.81 = 1,829.03/x
  3. Step 3: Cross multiply
    6,509.21x = 9,763.81 × 1,829.03
  4. Step 4: Simplify right side
    6,509.21x = 17,858,260.60
  5. Step 5: Solve for x
    x = 17,858,260.60/6,509.21
  6. Step 6: Final answer
    x = 2,743.54

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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.