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Finding the Fourth Proportional to 7,160.92, 10,729.23 and 3,464.89

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Solution

The fourth proportional to 7,160.92, 10,729.23 and 3,464.89 is: 5,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.92 : 10,729.23 = 3,464.89 : x
  2. Step 2: Convert to fraction form
    7,160.92/10,729.23 = 3,464.89/x
  3. Step 3: Cross multiply
    7,160.92x = 10,729.23 × 3,464.89
  4. Step 4: Simplify right side
    7,160.92x = 37,175,601.73
  5. Step 5: Solve for x
    x = 37,175,601.73/7,160.92
  6. Step 6: Final answer
    x = 5,191.46

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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.