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Finding the Fourth Proportional to 10,122, 15,183 and 3,546.70

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Solution

The fourth proportional to 10,122, 15,183 and 3,546.70 is: 5,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 15,183 = 3,546.70 : x
  2. Step 2: Convert to fraction form
    10,122/15,183 = 3,546.70/x
  3. Step 3: Cross multiply
    10,122x = 15,183 × 3,546.70
  4. Step 4: Simplify right side
    10,122x = 53,849,546.10
  5. Step 5: Solve for x
    x = 53,849,546.10/10,122
  6. Step 6: Final answer
    x = 5,320.05

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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.