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Finding the Fourth Proportional to 14,697.35, 20,282.01 and 7,982.84

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Solution

The fourth proportional to 14,697.35, 20,282.01 and 7,982.84 is: 11,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.35 : 20,282.01 = 7,982.84 : x
  2. Step 2: Convert to fraction form
    14,697.35/20,282.01 = 7,982.84/x
  3. Step 3: Cross multiply
    14,697.35x = 20,282.01 × 7,982.84
  4. Step 4: Simplify right side
    14,697.35x = 161,907,939.30
  5. Step 5: Solve for x
    x = 161,907,939.30/14,697.35
  6. Step 6: Final answer
    x = 11,016.13

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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.