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Finding the Fourth Proportional to 8,200.81, 12,301.40 and 2,936.18

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Solution

The fourth proportional to 8,200.81, 12,301.40 and 2,936.18 is: 4,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.81 : 12,301.40 = 2,936.18 : x
  2. Step 2: Convert to fraction form
    8,200.81/12,301.40 = 2,936.18/x
  3. Step 3: Cross multiply
    8,200.81x = 12,301.40 × 2,936.18
  4. Step 4: Simplify right side
    8,200.81x = 36,119,077.03
  5. Step 5: Solve for x
    x = 36,119,077.03/8,200.81
  6. Step 6: Final answer
    x = 4,404.33

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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.