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Finding the Fourth Proportional to 10,697.67, 16,046.46 and 2,906.46

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Solution

The fourth proportional to 10,697.67, 16,046.46 and 2,906.46 is: 4,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.67 : 16,046.46 = 2,906.46 : x
  2. Step 2: Convert to fraction form
    10,697.67/16,046.46 = 2,906.46/x
  3. Step 3: Cross multiply
    10,697.67x = 16,046.46 × 2,906.46
  4. Step 4: Simplify right side
    10,697.67x = 46,638,394.13
  5. Step 5: Solve for x
    x = 46,638,394.13/10,697.67
  6. Step 6: Final answer
    x = 4,359.68

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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.