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Finding the Fourth Proportional to 6,698.70, 10,047.78 and 1,701

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Solution

The fourth proportional to 6,698.70, 10,047.78 and 1,701 is: 2,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.70 : 10,047.78 = 1,701 : x
  2. Step 2: Convert to fraction form
    6,698.70/10,047.78 = 1,701/x
  3. Step 3: Cross multiply
    6,698.70x = 10,047.78 × 1,701
  4. Step 4: Simplify right side
    6,698.70x = 17,091,273.78
  5. Step 5: Solve for x
    x = 17,091,273.78/6,698.70
  6. Step 6: Final answer
    x = 2,551.43

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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.