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Finding the Fourth Proportional to 13,028, 17,978.64 and 7,439

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Solution

The fourth proportional to 13,028, 17,978.64 and 7,439 is: 10,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028 : 17,978.64 = 7,439 : x
  2. Step 2: Convert to fraction form
    13,028/17,978.64 = 7,439/x
  3. Step 3: Cross multiply
    13,028x = 17,978.64 × 7,439
  4. Step 4: Simplify right side
    13,028x = 133,743,102.96
  5. Step 5: Solve for x
    x = 133,743,102.96/13,028
  6. Step 6: Final answer
    x = 10,265.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.