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Finding the Fourth Proportional to 22,325.44, 33,488.48 and 6,743.20

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Solution

The fourth proportional to 22,325.44, 33,488.48 and 6,743.20 is: 10,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325.44 : 33,488.48 = 6,743.20 : x
  2. Step 2: Convert to fraction form
    22,325.44/33,488.48 = 6,743.20/x
  3. Step 3: Cross multiply
    22,325.44x = 33,488.48 × 6,743.20
  4. Step 4: Simplify right side
    22,325.44x = 225,819,518.34
  5. Step 5: Solve for x
    x = 225,819,518.34/22,325.44
  6. Step 6: Final answer
    x = 10,114.90

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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.