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Finding the Fourth Proportional to 11,631.92, 17,438.03 and 5,304.54

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Solution

The fourth proportional to 11,631.92, 17,438.03 and 5,304.54 is: 7,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.92 : 17,438.03 = 5,304.54 : x
  2. Step 2: Convert to fraction form
    11,631.92/17,438.03 = 5,304.54/x
  3. Step 3: Cross multiply
    11,631.92x = 17,438.03 × 5,304.54
  4. Step 4: Simplify right side
    11,631.92x = 92,500,674.42
  5. Step 5: Solve for x
    x = 92,500,674.42/11,631.92
  6. Step 6: Final answer
    x = 7,952.31

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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.