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Finding the Fourth Proportional to 6,843.66, 9,444.56 and 3,859.62

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Solution

The fourth proportional to 6,843.66, 9,444.56 and 3,859.62 is: 5,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.66 : 9,444.56 = 3,859.62 : x
  2. Step 2: Convert to fraction form
    6,843.66/9,444.56 = 3,859.62/x
  3. Step 3: Cross multiply
    6,843.66x = 9,444.56 × 3,859.62
  4. Step 4: Simplify right side
    6,843.66x = 36,452,412.67
  5. Step 5: Solve for x
    x = 36,452,412.67/6,843.66
  6. Step 6: Final answer
    x = 5,326.45

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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.