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Finding the Fourth Proportional to 10,497.14, 15,745.45 and 4,255.49

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Solution

The fourth proportional to 10,497.14, 15,745.45 and 4,255.49 is: 6,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.14 : 15,745.45 = 4,255.49 : x
  2. Step 2: Convert to fraction form
    10,497.14/15,745.45 = 4,255.49/x
  3. Step 3: Cross multiply
    10,497.14x = 15,745.45 × 4,255.49
  4. Step 4: Simplify right side
    10,497.14x = 67,004,505.02
  5. Step 5: Solve for x
    x = 67,004,505.02/10,497.14
  6. Step 6: Final answer
    x = 6,383.12

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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.