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Finding the Fourth Proportional to 6,987.68, 9,642.84 and 3,843.80

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Solution

The fourth proportional to 6,987.68, 9,642.84 and 3,843.80 is: 5,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.68 : 9,642.84 = 3,843.80 : x
  2. Step 2: Convert to fraction form
    6,987.68/9,642.84 = 3,843.80/x
  3. Step 3: Cross multiply
    6,987.68x = 9,642.84 × 3,843.80
  4. Step 4: Simplify right side
    6,987.68x = 37,065,148.39
  5. Step 5: Solve for x
    x = 37,065,148.39/6,987.68
  6. Step 6: Final answer
    x = 5,304.36

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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.