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Finding the Fourth Proportional to 11,597.85, 17,394.03 and 6,664.95

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Solution

The fourth proportional to 11,597.85, 17,394.03 and 6,664.95 is: 9,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.85 : 17,394.03 = 6,664.95 : x
  2. Step 2: Convert to fraction form
    11,597.85/17,394.03 = 6,664.95/x
  3. Step 3: Cross multiply
    11,597.85x = 17,394.03 × 6,664.95
  4. Step 4: Simplify right side
    11,597.85x = 115,930,340.25
  5. Step 5: Solve for x
    x = 115,930,340.25/11,597.85
  6. Step 6: Final answer
    x = 9,995.85

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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.