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Finding the Fourth Proportional to 10,697.64, 16,046.17 and 2,906.25

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Solution

The fourth proportional to 10,697.64, 16,046.17 and 2,906.25 is: 4,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.64 : 16,046.17 = 2,906.25 : x
  2. Step 2: Convert to fraction form
    10,697.64/16,046.17 = 2,906.25/x
  3. Step 3: Cross multiply
    10,697.64x = 16,046.17 × 2,906.25
  4. Step 4: Simplify right side
    10,697.64x = 46,634,181.56
  5. Step 5: Solve for x
    x = 46,634,181.56/10,697.64
  6. Step 6: Final answer
    x = 4,359.30

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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.