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Finding the Fourth Proportional to 9,471, 14,203.32 and 3,229.44

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Solution

The fourth proportional to 9,471, 14,203.32 and 3,229.44 is: 4,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471 : 14,203.32 = 3,229.44 : x
  2. Step 2: Convert to fraction form
    9,471/14,203.32 = 3,229.44/x
  3. Step 3: Cross multiply
    9,471x = 14,203.32 × 3,229.44
  4. Step 4: Simplify right side
    9,471x = 45,868,769.74
  5. Step 5: Solve for x
    x = 45,868,769.74/9,471
  6. Step 6: Final answer
    x = 4,843.08

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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.