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Finding the Fourth Proportional to 6,573.88, 9,858.26 and 2,825.32

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Solution

The fourth proportional to 6,573.88, 9,858.26 and 2,825.32 is: 4,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.88 : 9,858.26 = 2,825.32 : x
  2. Step 2: Convert to fraction form
    6,573.88/9,858.26 = 2,825.32/x
  3. Step 3: Cross multiply
    6,573.88x = 9,858.26 × 2,825.32
  4. Step 4: Simplify right side
    6,573.88x = 27,852,739.14
  5. Step 5: Solve for x
    x = 27,852,739.14/6,573.88
  6. Step 6: Final answer
    x = 4,236.88

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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.