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Finding the Fourth Proportional to 10,874.23, 16,298.79 and 4,942.23

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Solution

The fourth proportional to 10,874.23, 16,298.79 and 4,942.23 is: 7,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.23 : 16,298.79 = 4,942.23 : x
  2. Step 2: Convert to fraction form
    10,874.23/16,298.79 = 4,942.23/x
  3. Step 3: Cross multiply
    10,874.23x = 16,298.79 × 4,942.23
  4. Step 4: Simplify right side
    10,874.23x = 80,552,289.25
  5. Step 5: Solve for x
    x = 80,552,289.25/10,874.23
  6. Step 6: Final answer
    x = 7,407.63

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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.