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Finding the Fourth Proportional to 6,843.81, 9,444.41 and 3,859.67

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Solution

The fourth proportional to 6,843.81, 9,444.41 and 3,859.67 is: 5,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.81 : 9,444.41 = 3,859.67 : x
  2. Step 2: Convert to fraction form
    6,843.81/9,444.41 = 3,859.67/x
  3. Step 3: Cross multiply
    6,843.81x = 9,444.41 × 3,859.67
  4. Step 4: Simplify right side
    6,843.81x = 36,452,239.42
  5. Step 5: Solve for x
    x = 36,452,239.42/6,843.81
  6. Step 6: Final answer
    x = 5,326.31

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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.