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Finding the Fourth Proportional to 11,694.46, 17,543.98 and 4,298.98

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Solution

The fourth proportional to 11,694.46, 17,543.98 and 4,298.98 is: 6,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.46 : 17,543.98 = 4,298.98 : x
  2. Step 2: Convert to fraction form
    11,694.46/17,543.98 = 4,298.98/x
  3. Step 3: Cross multiply
    11,694.46x = 17,543.98 × 4,298.98
  4. Step 4: Simplify right side
    11,694.46x = 75,421,219.14
  5. Step 5: Solve for x
    x = 75,421,219.14/11,694.46
  6. Step 6: Final answer
    x = 6,449.31

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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.