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Finding the Fourth Proportional to 11,830.14, 16,324.98 and 6,793.97

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Solution

The fourth proportional to 11,830.14, 16,324.98 and 6,793.97 is: 9,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.14 : 16,324.98 = 6,793.97 : x
  2. Step 2: Convert to fraction form
    11,830.14/16,324.98 = 6,793.97/x
  3. Step 3: Cross multiply
    11,830.14x = 16,324.98 × 6,793.97
  4. Step 4: Simplify right side
    11,830.14x = 110,911,342.75
  5. Step 5: Solve for x
    x = 110,911,342.75/11,830.14
  6. Step 6: Final answer
    x = 9,375.32

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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.