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Finding the Fourth Proportional to 8,381.75, 12,574.25 and 3,187.22

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Solution

The fourth proportional to 8,381.75, 12,574.25 and 3,187.22 is: 4,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.75 : 12,574.25 = 3,187.22 : x
  2. Step 2: Convert to fraction form
    8,381.75/12,574.25 = 3,187.22/x
  3. Step 3: Cross multiply
    8,381.75x = 12,574.25 × 3,187.22
  4. Step 4: Simplify right side
    8,381.75x = 40,076,822.28
  5. Step 5: Solve for x
    x = 40,076,822.28/8,381.75
  6. Step 6: Final answer
    x = 4,781.44

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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.