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Finding the Fourth Proportional to 11,858.94, 17,795.64 and 6,597.96

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Solution

The fourth proportional to 11,858.94, 17,795.64 and 6,597.96 is: 9,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.94 : 17,795.64 = 6,597.96 : x
  2. Step 2: Convert to fraction form
    11,858.94/17,795.64 = 6,597.96/x
  3. Step 3: Cross multiply
    11,858.94x = 17,795.64 × 6,597.96
  4. Step 4: Simplify right side
    11,858.94x = 117,414,920.89
  5. Step 5: Solve for x
    x = 117,414,920.89/11,858.94
  6. Step 6: Final answer
    x = 9,900.96

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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.