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Finding the Fourth Proportional to 6,334.50, 9,504.99 and 2,825.58

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Solution

The fourth proportional to 6,334.50, 9,504.99 and 2,825.58 is: 4,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.50 : 9,504.99 = 2,825.58 : x
  2. Step 2: Convert to fraction form
    6,334.50/9,504.99 = 2,825.58/x
  3. Step 3: Cross multiply
    6,334.50x = 9,504.99 × 2,825.58
  4. Step 4: Simplify right side
    6,334.50x = 26,857,109.64
  5. Step 5: Solve for x
    x = 26,857,109.64/6,334.50
  6. Step 6: Final answer
    x = 4,239.82

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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.