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Finding the Fourth Proportional to 6,898.64, 10,348.02 and 1,704.56

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Solution

The fourth proportional to 6,898.64, 10,348.02 and 1,704.56 is: 2,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.64 : 10,348.02 = 1,704.56 : x
  2. Step 2: Convert to fraction form
    6,898.64/10,348.02 = 1,704.56/x
  3. Step 3: Cross multiply
    6,898.64x = 10,348.02 × 1,704.56
  4. Step 4: Simplify right side
    6,898.64x = 17,638,820.97
  5. Step 5: Solve for x
    x = 17,638,820.97/6,898.64
  6. Step 6: Final answer
    x = 2,556.85

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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.