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Finding the Fourth Proportional to 7,046.65, 9,702.25 and 5,982.21

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Solution

The fourth proportional to 7,046.65, 9,702.25 and 5,982.21 is: 8,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.65 : 9,702.25 = 5,982.21 : x
  2. Step 2: Convert to fraction form
    7,046.65/9,702.25 = 5,982.21/x
  3. Step 3: Cross multiply
    7,046.65x = 9,702.25 × 5,982.21
  4. Step 4: Simplify right side
    7,046.65x = 58,040,896.97
  5. Step 5: Solve for x
    x = 58,040,896.97/7,046.65
  6. Step 6: Final answer
    x = 8,236.67

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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.