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Finding the Fourth Proportional to 16,495, 24,743.94 and 4,183

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Solution

The fourth proportional to 16,495, 24,743.94 and 4,183 is: 6,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495 : 24,743.94 = 4,183 : x
  2. Step 2: Convert to fraction form
    16,495/24,743.94 = 4,183/x
  3. Step 3: Cross multiply
    16,495x = 24,743.94 × 4,183
  4. Step 4: Simplify right side
    16,495x = 103,503,901.02
  5. Step 5: Solve for x
    x = 103,503,901.02/16,495
  6. Step 6: Final answer
    x = 6,274.87

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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.