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Finding the Fourth Proportional to 7,086.62, 10,629.80 and 2,469.50

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Solution

The fourth proportional to 7,086.62, 10,629.80 and 2,469.50 is: 3,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.62 : 10,629.80 = 2,469.50 : x
  2. Step 2: Convert to fraction form
    7,086.62/10,629.80 = 2,469.50/x
  3. Step 3: Cross multiply
    7,086.62x = 10,629.80 × 2,469.50
  4. Step 4: Simplify right side
    7,086.62x = 26,250,291.10
  5. Step 5: Solve for x
    x = 26,250,291.10/7,086.62
  6. Step 6: Final answer
    x = 3,704.20

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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.