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Finding the Fourth Proportional to 10,740, 16,098.48 and 4,498.44

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Solution

The fourth proportional to 10,740, 16,098.48 and 4,498.44 is: 6,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740 : 16,098.48 = 4,498.44 : x
  2. Step 2: Convert to fraction form
    10,740/16,098.48 = 4,498.44/x
  3. Step 3: Cross multiply
    10,740x = 16,098.48 × 4,498.44
  4. Step 4: Simplify right side
    10,740x = 72,418,046.37
  5. Step 5: Solve for x
    x = 72,418,046.37/10,740
  6. Step 6: Final answer
    x = 6,742.83

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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.