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Finding the Fourth Proportional to 6,698.98, 10,046.15 and 2,749.11

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Solution

The fourth proportional to 6,698.98, 10,046.15 and 2,749.11 is: 4,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.98 : 10,046.15 = 2,749.11 : x
  2. Step 2: Convert to fraction form
    6,698.98/10,046.15 = 2,749.11/x
  3. Step 3: Cross multiply
    6,698.98x = 10,046.15 × 2,749.11
  4. Step 4: Simplify right side
    6,698.98x = 27,618,022.81
  5. Step 5: Solve for x
    x = 27,618,022.81/6,698.98
  6. Step 6: Final answer
    x = 4,122.72

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1.5x scale

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.