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Finding the Fourth Proportional to 11,062.64, 16,576.68 and 6,950

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Solution

The fourth proportional to 11,062.64, 16,576.68 and 6,950 is: 10,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,062.64 : 16,576.68 = 6,950 : x
  2. Step 2: Convert to fraction form
    11,062.64/16,576.68 = 6,950/x
  3. Step 3: Cross multiply
    11,062.64x = 16,576.68 × 6,950
  4. Step 4: Simplify right side
    11,062.64x = 115,207,926
  5. Step 5: Solve for x
    x = 115,207,926/11,062.64
  6. Step 6: Final answer
    x = 10,414.14

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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.