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Finding the Fourth Proportional to 11,697.04, 17,534.04 and 4,674.97

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Solution

The fourth proportional to 11,697.04, 17,534.04 and 4,674.97 is: 7,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.04 : 17,534.04 = 4,674.97 : x
  2. Step 2: Convert to fraction form
    11,697.04/17,534.04 = 4,674.97/x
  3. Step 3: Cross multiply
    11,697.04x = 17,534.04 × 4,674.97
  4. Step 4: Simplify right side
    11,697.04x = 81,971,110.98
  5. Step 5: Solve for x
    x = 81,971,110.98/11,697.04
  6. Step 6: Final answer
    x = 7,007.85

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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.