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Finding the Fourth Proportional to 18,282, 27,425.16 and 5,970

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Solution

The fourth proportional to 18,282, 27,425.16 and 5,970 is: 8,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282 : 27,425.16 = 5,970 : x
  2. Step 2: Convert to fraction form
    18,282/27,425.16 = 5,970/x
  3. Step 3: Cross multiply
    18,282x = 27,425.16 × 5,970
  4. Step 4: Simplify right side
    18,282x = 163,728,205.20
  5. Step 5: Solve for x
    x = 163,728,205.20/18,282
  6. Step 6: Final answer
    x = 8,955.71

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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.