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Finding the Fourth Proportional to 6,495.96, 9,749.52 and 2,603.04

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Solution

The fourth proportional to 6,495.96, 9,749.52 and 2,603.04 is: 3,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.96 : 9,749.52 = 2,603.04 : x
  2. Step 2: Convert to fraction form
    6,495.96/9,749.52 = 2,603.04/x
  3. Step 3: Cross multiply
    6,495.96x = 9,749.52 × 2,603.04
  4. Step 4: Simplify right side
    6,495.96x = 25,378,390.54
  5. Step 5: Solve for x
    x = 25,378,390.54/6,495.96
  6. Step 6: Final answer
    x = 3,906.80

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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.