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Finding the Fourth Proportional to 20,546.42, 30,828.42 and 6,507.59

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Solution

The fourth proportional to 20,546.42, 30,828.42 and 6,507.59 is: 9,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.42 : 30,828.42 = 6,507.59 : x
  2. Step 2: Convert to fraction form
    20,546.42/30,828.42 = 6,507.59/x
  3. Step 3: Cross multiply
    20,546.42x = 30,828.42 × 6,507.59
  4. Step 4: Simplify right side
    20,546.42x = 200,618,563.57
  5. Step 5: Solve for x
    x = 200,618,563.57/20,546.42
  6. Step 6: Final answer
    x = 9,764.16

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1.5x scale

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.