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Finding the Fourth Proportional to 7,704.33, 10,632 and 4,167.57

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Solution

The fourth proportional to 7,704.33, 10,632 and 4,167.57 is: 5,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.33 : 10,632 = 4,167.57 : x
  2. Step 2: Convert to fraction form
    7,704.33/10,632 = 4,167.57/x
  3. Step 3: Cross multiply
    7,704.33x = 10,632 × 4,167.57
  4. Step 4: Simplify right side
    7,704.33x = 44,309,604.24
  5. Step 5: Solve for x
    x = 44,309,604.24/7,704.33
  6. Step 6: Final answer
    x = 5,751.26

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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.