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Finding the Fourth Proportional to 6,846.67, 9,448.36 and 3,702.79

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Solution

The fourth proportional to 6,846.67, 9,448.36 and 3,702.79 is: 5,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.67 : 9,448.36 = 3,702.79 : x
  2. Step 2: Convert to fraction form
    6,846.67/9,448.36 = 3,702.79/x
  3. Step 3: Cross multiply
    6,846.67x = 9,448.36 × 3,702.79
  4. Step 4: Simplify right side
    6,846.67x = 34,985,292.92
  5. Step 5: Solve for x
    x = 34,985,292.92/6,846.67
  6. Step 6: Final answer
    x = 5,109.83

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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.