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Finding the Fourth Proportional to 8,034.84, 12,051.90 and 2,191.43

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Solution

The fourth proportional to 8,034.84, 12,051.90 and 2,191.43 is: 3,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.84 : 12,051.90 = 2,191.43 : x
  2. Step 2: Convert to fraction form
    8,034.84/12,051.90 = 2,191.43/x
  3. Step 3: Cross multiply
    8,034.84x = 12,051.90 × 2,191.43
  4. Step 4: Simplify right side
    8,034.84x = 26,410,895.22
  5. Step 5: Solve for x
    x = 26,410,895.22/8,034.84
  6. Step 6: Final answer
    x = 3,287.05

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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.