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Finding the Fourth Proportional to 6,843.84, 9,444.47 and 3,859.69

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Solution

The fourth proportional to 6,843.84, 9,444.47 and 3,859.69 is: 5,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.84 : 9,444.47 = 3,859.69 : x
  2. Step 2: Convert to fraction form
    6,843.84/9,444.47 = 3,859.69/x
  3. Step 3: Cross multiply
    6,843.84x = 9,444.47 × 3,859.69
  4. Step 4: Simplify right side
    6,843.84x = 36,452,726.41
  5. Step 5: Solve for x
    x = 36,452,726.41/6,843.84
  6. Step 6: Final answer
    x = 5,326.36

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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.