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Finding the Fourth Proportional to 14,697.26, 20,282.37 and 7,983.01

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Solution

The fourth proportional to 14,697.26, 20,282.37 and 7,983.01 is: 11,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.26 : 20,282.37 = 7,983.01 : x
  2. Step 2: Convert to fraction form
    14,697.26/20,282.37 = 7,983.01/x
  3. Step 3: Cross multiply
    14,697.26x = 20,282.37 × 7,983.01
  4. Step 4: Simplify right side
    14,697.26x = 161,914,414.99
  5. Step 5: Solve for x
    x = 161,914,414.99/14,697.26
  6. Step 6: Final answer
    x = 11,016.64

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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.