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Finding the Fourth Proportional to 7,383.45, 10,189 and 4,026.30

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Solution

The fourth proportional to 7,383.45, 10,189 and 4,026.30 is: 5,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.45 : 10,189 = 4,026.30 : x
  2. Step 2: Convert to fraction form
    7,383.45/10,189 = 4,026.30/x
  3. Step 3: Cross multiply
    7,383.45x = 10,189 × 4,026.30
  4. Step 4: Simplify right side
    7,383.45x = 41,023,970.70
  5. Step 5: Solve for x
    x = 41,023,970.70/7,383.45
  6. Step 6: Final answer
    x = 5,556.21

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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.