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Finding the Fourth Proportional to 8,129.84, 12,194.79 and 3,448.68

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Solution

The fourth proportional to 8,129.84, 12,194.79 and 3,448.68 is: 5,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.84 : 12,194.79 = 3,448.68 : x
  2. Step 2: Convert to fraction form
    8,129.84/12,194.79 = 3,448.68/x
  3. Step 3: Cross multiply
    8,129.84x = 12,194.79 × 3,448.68
  4. Step 4: Simplify right side
    8,129.84x = 42,055,869.71
  5. Step 5: Solve for x
    x = 42,055,869.71/8,129.84
  6. Step 6: Final answer
    x = 5,173.03

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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.