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Finding the Fourth Proportional to 11,829.04, 16,324.76 and 6,793.24

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Solution

The fourth proportional to 11,829.04, 16,324.76 and 6,793.24 is: 9,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.04 : 16,324.76 = 6,793.24 : x
  2. Step 2: Convert to fraction form
    11,829.04/16,324.76 = 6,793.24/x
  3. Step 3: Cross multiply
    11,829.04x = 16,324.76 × 6,793.24
  4. Step 4: Simplify right side
    11,829.04x = 110,898,012.62
  5. Step 5: Solve for x
    x = 110,898,012.62/11,829.04
  6. Step 6: Final answer
    x = 9,375.06

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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.