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Finding the Fourth Proportional to 11,863.37, 16,370.99 and 6,829.20

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Solution

The fourth proportional to 11,863.37, 16,370.99 and 6,829.20 is: 9,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.37 : 16,370.99 = 6,829.20 : x
  2. Step 2: Convert to fraction form
    11,863.37/16,370.99 = 6,829.20/x
  3. Step 3: Cross multiply
    11,863.37x = 16,370.99 × 6,829.20
  4. Step 4: Simplify right side
    11,863.37x = 111,800,730.76
  5. Step 5: Solve for x
    x = 111,800,730.76/11,863.37
  6. Step 6: Final answer
    x = 9,424.03

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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.