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Finding the Fourth Proportional to 11,994.94, 17,992.53 and 4,597.64

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Solution

The fourth proportional to 11,994.94, 17,992.53 and 4,597.64 is: 6,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.94 : 17,992.53 = 4,597.64 : x
  2. Step 2: Convert to fraction form
    11,994.94/17,992.53 = 4,597.64/x
  3. Step 3: Cross multiply
    11,994.94x = 17,992.53 × 4,597.64
  4. Step 4: Simplify right side
    11,994.94x = 82,723,152.64
  5. Step 5: Solve for x
    x = 82,723,152.64/11,994.94
  6. Step 6: Final answer
    x = 6,896.50

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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.