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Finding the Fourth Proportional to 11,672.10, 16,105.84 and 6,636.53

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Solution

The fourth proportional to 11,672.10, 16,105.84 and 6,636.53 is: 9,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.10 : 16,105.84 = 6,636.53 : x
  2. Step 2: Convert to fraction form
    11,672.10/16,105.84 = 6,636.53/x
  3. Step 3: Cross multiply
    11,672.10x = 16,105.84 × 6,636.53
  4. Step 4: Simplify right side
    11,672.10x = 106,886,914.01
  5. Step 5: Solve for x
    x = 106,886,914.01/11,672.10
  6. Step 6: Final answer
    x = 9,157.47

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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.