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Finding the Fourth Proportional to 7,469.70, 10,310.67 and 5,460.90

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Solution

The fourth proportional to 7,469.70, 10,310.67 and 5,460.90 is: 7,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.70 : 10,310.67 = 5,460.90 : x
  2. Step 2: Convert to fraction form
    7,469.70/10,310.67 = 5,460.90/x
  3. Step 3: Cross multiply
    7,469.70x = 10,310.67 × 5,460.90
  4. Step 4: Simplify right side
    7,469.70x = 56,305,537.80
  5. Step 5: Solve for x
    x = 56,305,537.80/7,469.70
  6. Step 6: Final answer
    x = 7,537.86

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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.