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Finding the Fourth Proportional to 14,697.62, 20,282.29 and 7,983.02

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Solution

The fourth proportional to 14,697.62, 20,282.29 and 7,983.02 is: 11,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.62 : 20,282.29 = 7,983.02 : x
  2. Step 2: Convert to fraction form
    14,697.62/20,282.29 = 7,983.02/x
  3. Step 3: Cross multiply
    14,697.62x = 20,282.29 × 7,983.02
  4. Step 4: Simplify right side
    14,697.62x = 161,913,825.30
  5. Step 5: Solve for x
    x = 161,913,825.30/14,697.62
  6. Step 6: Final answer
    x = 11,016.33

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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.