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Finding the Fourth Proportional to 7,203.27, 9,939.74 and 4,408.23

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Solution

The fourth proportional to 7,203.27, 9,939.74 and 4,408.23 is: 6,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.27 : 9,939.74 = 4,408.23 : x
  2. Step 2: Convert to fraction form
    7,203.27/9,939.74 = 4,408.23/x
  3. Step 3: Cross multiply
    7,203.27x = 9,939.74 × 4,408.23
  4. Step 4: Simplify right side
    7,203.27x = 43,816,638.02
  5. Step 5: Solve for x
    x = 43,816,638.02/7,203.27
  6. Step 6: Final answer
    x = 6,082.88

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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.