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Finding the Fourth Proportional to 11,452.64, 17,154.27 and 7,734.42

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Solution

The fourth proportional to 11,452.64, 17,154.27 and 7,734.42 is: 11,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.64 : 17,154.27 = 7,734.42 : x
  2. Step 2: Convert to fraction form
    11,452.64/17,154.27 = 7,734.42/x
  3. Step 3: Cross multiply
    11,452.64x = 17,154.27 × 7,734.42
  4. Step 4: Simplify right side
    11,452.64x = 132,678,328.97
  5. Step 5: Solve for x
    x = 132,678,328.97/11,452.64
  6. Step 6: Final answer
    x = 11,584.96

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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.