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Finding the Fourth Proportional to 6,021.50, 8,313 and 4,134.20

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Solution

The fourth proportional to 6,021.50, 8,313 and 4,134.20 is: 5,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.50 : 8,313 = 4,134.20 : x
  2. Step 2: Convert to fraction form
    6,021.50/8,313 = 4,134.20/x
  3. Step 3: Cross multiply
    6,021.50x = 8,313 × 4,134.20
  4. Step 4: Simplify right side
    6,021.50x = 34,367,604.60
  5. Step 5: Solve for x
    x = 34,367,604.60/6,021.50
  6. Step 6: Final answer
    x = 5,707.48

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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.