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Finding the Fourth Proportional to 19,474.84, 29,213.20 and 5,434.84

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Solution

The fourth proportional to 19,474.84, 29,213.20 and 5,434.84 is: 8,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.84 : 29,213.20 = 5,434.84 : x
  2. Step 2: Convert to fraction form
    19,474.84/29,213.20 = 5,434.84/x
  3. Step 3: Cross multiply
    19,474.84x = 29,213.20 × 5,434.84
  4. Step 4: Simplify right side
    19,474.84x = 158,769,067.89
  5. Step 5: Solve for x
    x = 158,769,067.89/19,474.84
  6. Step 6: Final answer
    x = 8,152.52

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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.