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Finding the Fourth Proportional to 6,499.98, 9,725.40 and 4,850.82

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Solution

The fourth proportional to 6,499.98, 9,725.40 and 4,850.82 is: 7,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.98 : 9,725.40 = 4,850.82 : x
  2. Step 2: Convert to fraction form
    6,499.98/9,725.40 = 4,850.82/x
  3. Step 3: Cross multiply
    6,499.98x = 9,725.40 × 4,850.82
  4. Step 4: Simplify right side
    6,499.98x = 47,176,164.83
  5. Step 5: Solve for x
    x = 47,176,164.83/6,499.98
  6. Step 6: Final answer
    x = 7,257.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.