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Finding the Fourth Proportional to 11,446.64, 17,180.89 and 7,072.64

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Solution

The fourth proportional to 11,446.64, 17,180.89 and 7,072.64 is: 10,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.64 : 17,180.89 = 7,072.64 : x
  2. Step 2: Convert to fraction form
    11,446.64/17,180.89 = 7,072.64/x
  3. Step 3: Cross multiply
    11,446.64x = 17,180.89 × 7,072.64
  4. Step 4: Simplify right side
    11,446.64x = 121,514,146.26
  5. Step 5: Solve for x
    x = 121,514,146.26/11,446.64
  6. Step 6: Final answer
    x = 10,615.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.