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Finding the Fourth Proportional to 11,753.52, 16,219.04 and 6,447.24

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Solution

The fourth proportional to 11,753.52, 16,219.04 and 6,447.24 is: 8,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.52 : 16,219.04 = 6,447.24 : x
  2. Step 2: Convert to fraction form
    11,753.52/16,219.04 = 6,447.24/x
  3. Step 3: Cross multiply
    11,753.52x = 16,219.04 × 6,447.24
  4. Step 4: Simplify right side
    11,753.52x = 104,568,043.45
  5. Step 5: Solve for x
    x = 104,568,043.45/11,753.52
  6. Step 6: Final answer
    x = 8,896.74

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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.