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Finding the Fourth Proportional to 10,314, 15,473.64 and 3,388.56

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Solution

The fourth proportional to 10,314, 15,473.64 and 3,388.56 is: 5,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 15,473.64 = 3,388.56 : x
  2. Step 2: Convert to fraction form
    10,314/15,473.64 = 3,388.56/x
  3. Step 3: Cross multiply
    10,314x = 15,473.64 × 3,388.56
  4. Step 4: Simplify right side
    10,314x = 52,433,357.56
  5. Step 5: Solve for x
    x = 52,433,357.56/10,314
  6. Step 6: Final answer
    x = 5,083.71

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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.