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Finding the Fourth Proportional to 20,383.20, 30,574.08 and 6,343.20

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Solution

The fourth proportional to 20,383.20, 30,574.08 and 6,343.20 is: 9,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.20 : 30,574.08 = 6,343.20 : x
  2. Step 2: Convert to fraction form
    20,383.20/30,574.08 = 6,343.20/x
  3. Step 3: Cross multiply
    20,383.20x = 30,574.08 × 6,343.20
  4. Step 4: Simplify right side
    20,383.20x = 193,937,504.26
  5. Step 5: Solve for x
    x = 193,937,504.26/20,383.20
  6. Step 6: Final answer
    x = 9,514.58

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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.