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Finding the Fourth Proportional to 6,558.88, 9,825.18 and 3,261.82

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Solution

The fourth proportional to 6,558.88, 9,825.18 and 3,261.82 is: 4,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.88 : 9,825.18 = 3,261.82 : x
  2. Step 2: Convert to fraction form
    6,558.88/9,825.18 = 3,261.82/x
  3. Step 3: Cross multiply
    6,558.88x = 9,825.18 × 3,261.82
  4. Step 4: Simplify right side
    6,558.88x = 32,047,968.63
  5. Step 5: Solve for x
    x = 32,047,968.63/6,558.88
  6. Step 6: Final answer
    x = 4,886.20

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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.