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Finding the Fourth Proportional to 24,942.74, 37,414.02 and 6,474.74

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Solution

The fourth proportional to 24,942.74, 37,414.02 and 6,474.74 is: 9,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.74 : 37,414.02 = 6,474.74 : x
  2. Step 2: Convert to fraction form
    24,942.74/37,414.02 = 6,474.74/x
  3. Step 3: Cross multiply
    24,942.74x = 37,414.02 × 6,474.74
  4. Step 4: Simplify right side
    24,942.74x = 242,246,051.85
  5. Step 5: Solve for x
    x = 242,246,051.85/24,942.74
  6. Step 6: Final answer
    x = 9,712.09

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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.