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Finding the Fourth Proportional to 14,697.33, 20,282.31 and 7,982.97

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Solution

The fourth proportional to 14,697.33, 20,282.31 and 7,982.97 is: 11,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.33 : 20,282.31 = 7,982.97 : x
  2. Step 2: Convert to fraction form
    14,697.33/20,282.31 = 7,982.97/x
  3. Step 3: Cross multiply
    14,697.33x = 20,282.31 × 7,982.97
  4. Step 4: Simplify right side
    14,697.33x = 161,913,072.26
  5. Step 5: Solve for x
    x = 161,913,072.26/14,697.33
  6. Step 6: Final answer
    x = 11,016.50

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1.5x scale

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.