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Finding the Fourth Proportional to 8,274.44, 12,419.34 and 8,084.36

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Solution

The fourth proportional to 8,274.44, 12,419.34 and 8,084.36 is: 12,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.44 : 12,419.34 = 8,084.36 : x
  2. Step 2: Convert to fraction form
    8,274.44/12,419.34 = 8,084.36/x
  3. Step 3: Cross multiply
    8,274.44x = 12,419.34 × 8,084.36
  4. Step 4: Simplify right side
    8,274.44x = 100,402,415.52
  5. Step 5: Solve for x
    x = 100,402,415.52/8,274.44
  6. Step 6: Final answer
    x = 12,134.04

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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.