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Finding the Fourth Proportional to 11,793, 16,274.34 and 6,825

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Solution

The fourth proportional to 11,793, 16,274.34 and 6,825 is: 9,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793 : 16,274.34 = 6,825 : x
  2. Step 2: Convert to fraction form
    11,793/16,274.34 = 6,825/x
  3. Step 3: Cross multiply
    11,793x = 16,274.34 × 6,825
  4. Step 4: Simplify right side
    11,793x = 111,072,370.50
  5. Step 5: Solve for x
    x = 111,072,370.50/11,793
  6. Step 6: Final answer
    x = 9,418.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.