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Finding the Fourth Proportional to 8,469, 11,687.32 and 4,932.54

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Solution

The fourth proportional to 8,469, 11,687.32 and 4,932.54 is: 6,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 11,687.32 = 4,932.54 : x
  2. Step 2: Convert to fraction form
    8,469/11,687.32 = 4,932.54/x
  3. Step 3: Cross multiply
    8,469x = 11,687.32 × 4,932.54
  4. Step 4: Simplify right side
    8,469x = 57,648,173.39
  5. Step 5: Solve for x
    x = 57,648,173.39/8,469
  6. Step 6: Final answer
    x = 6,806.96

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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.