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Finding the Fourth Proportional to 8,482.26, 12,723.74 and 2,326.26

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Solution

The fourth proportional to 8,482.26, 12,723.74 and 2,326.26 is: 3,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.26 : 12,723.74 = 2,326.26 : x
  2. Step 2: Convert to fraction form
    8,482.26/12,723.74 = 2,326.26/x
  3. Step 3: Cross multiply
    8,482.26x = 12,723.74 × 2,326.26
  4. Step 4: Simplify right side
    8,482.26x = 29,598,727.41
  5. Step 5: Solve for x
    x = 29,598,727.41/8,482.26
  6. Step 6: Final answer
    x = 3,489.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.