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Finding the Fourth Proportional to 6,954.69, 10,430.65 and 3,255.94

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Solution

The fourth proportional to 6,954.69, 10,430.65 and 3,255.94 is: 4,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.69 : 10,430.65 = 3,255.94 : x
  2. Step 2: Convert to fraction form
    6,954.69/10,430.65 = 3,255.94/x
  3. Step 3: Cross multiply
    6,954.69x = 10,430.65 × 3,255.94
  4. Step 4: Simplify right side
    6,954.69x = 33,961,570.56
  5. Step 5: Solve for x
    x = 33,961,570.56/6,954.69
  6. Step 6: Final answer
    x = 4,883.26

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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.