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Finding the Fourth Proportional to 8,274.66, 12,412.12 and 2,034.68

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Solution

The fourth proportional to 8,274.66, 12,412.12 and 2,034.68 is: 3,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.66 : 12,412.12 = 2,034.68 : x
  2. Step 2: Convert to fraction form
    8,274.66/12,412.12 = 2,034.68/x
  3. Step 3: Cross multiply
    8,274.66x = 12,412.12 × 2,034.68
  4. Step 4: Simplify right side
    8,274.66x = 25,254,692.32
  5. Step 5: Solve for x
    x = 25,254,692.32/8,274.66
  6. Step 6: Final answer
    x = 3,052.05

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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.