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Finding the Fourth Proportional to 11,758.56, 16,227 and 6,453.36

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Solution

The fourth proportional to 11,758.56, 16,227 and 6,453.36 is: 8,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.56 : 16,227 = 6,453.36 : x
  2. Step 2: Convert to fraction form
    11,758.56/16,227 = 6,453.36/x
  3. Step 3: Cross multiply
    11,758.56x = 16,227 × 6,453.36
  4. Step 4: Simplify right side
    11,758.56x = 104,718,672.72
  5. Step 5: Solve for x
    x = 104,718,672.72/11,758.56
  6. Step 6: Final answer
    x = 8,905.74

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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.