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Finding the Fourth Proportional to 6,846.69, 9,448.44 and 3,702.87

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Solution

The fourth proportional to 6,846.69, 9,448.44 and 3,702.87 is: 5,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.69 : 9,448.44 = 3,702.87 : x
  2. Step 2: Convert to fraction form
    6,846.69/9,448.44 = 3,702.87/x
  3. Step 3: Cross multiply
    6,846.69x = 9,448.44 × 3,702.87
  4. Step 4: Simplify right side
    6,846.69x = 34,986,345.02
  5. Step 5: Solve for x
    x = 34,986,345.02/6,846.69
  6. Step 6: Final answer
    x = 5,109.96

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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.