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Finding the Fourth Proportional to 6,698.14, 10,047 and 2,749.26

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Solution

The fourth proportional to 6,698.14, 10,047 and 2,749.26 is: 4,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.14 : 10,047 = 2,749.26 : x
  2. Step 2: Convert to fraction form
    6,698.14/10,047 = 2,749.26/x
  3. Step 3: Cross multiply
    6,698.14x = 10,047 × 2,749.26
  4. Step 4: Simplify right side
    6,698.14x = 27,621,815.22
  5. Step 5: Solve for x
    x = 27,621,815.22/6,698.14
  6. Step 6: Final answer
    x = 4,123.80

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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.