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Finding the Fourth Proportional to 11,826.99, 16,321.02 and 6,449.49

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Solution

The fourth proportional to 11,826.99, 16,321.02 and 6,449.49 is: 8,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.99 : 16,321.02 = 6,449.49 : x
  2. Step 2: Convert to fraction form
    11,826.99/16,321.02 = 6,449.49/x
  3. Step 3: Cross multiply
    11,826.99x = 16,321.02 × 6,449.49
  4. Step 4: Simplify right side
    11,826.99x = 105,262,255.28
  5. Step 5: Solve for x
    x = 105,262,255.28/11,826.99
  6. Step 6: Final answer
    x = 8,900.17

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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.