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Finding the Fourth Proportional to 6,969.46, 10,454.09 and 1,704.51

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Solution

The fourth proportional to 6,969.46, 10,454.09 and 1,704.51 is: 2,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.46 : 10,454.09 = 1,704.51 : x
  2. Step 2: Convert to fraction form
    6,969.46/10,454.09 = 1,704.51/x
  3. Step 3: Cross multiply
    6,969.46x = 10,454.09 × 1,704.51
  4. Step 4: Simplify right side
    6,969.46x = 17,819,092.42
  5. Step 5: Solve for x
    x = 17,819,092.42/6,969.46
  6. Step 6: Final answer
    x = 2,556.74

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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.