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Finding the Fourth Proportional to 18,646.26, 27,968.47 and 6,958.56

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Solution

The fourth proportional to 18,646.26, 27,968.47 and 6,958.56 is: 10,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.26 : 27,968.47 = 6,958.56 : x
  2. Step 2: Convert to fraction form
    18,646.26/27,968.47 = 6,958.56/x
  3. Step 3: Cross multiply
    18,646.26x = 27,968.47 × 6,958.56
  4. Step 4: Simplify right side
    18,646.26x = 194,620,276.60
  5. Step 5: Solve for x
    x = 194,620,276.60/18,646.26
  6. Step 6: Final answer
    x = 10,437.50

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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.