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Finding the Fourth Proportional to 6,846.99, 9,448.97 and 4,016.40

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Solution

The fourth proportional to 6,846.99, 9,448.97 and 4,016.40 is: 5,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.99 : 9,448.97 = 4,016.40 : x
  2. Step 2: Convert to fraction form
    6,846.99/9,448.97 = 4,016.40/x
  3. Step 3: Cross multiply
    6,846.99x = 9,448.97 × 4,016.40
  4. Step 4: Simplify right side
    6,846.99x = 37,950,840.74
  5. Step 5: Solve for x
    x = 37,950,840.74/6,846.99
  6. Step 6: Final answer
    x = 5,542.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.