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Finding the Fourth Proportional to 8,469.57, 11,689.47 and 4,932.75

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Solution

The fourth proportional to 8,469.57, 11,689.47 and 4,932.75 is: 6,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.57 : 11,689.47 = 4,932.75 : x
  2. Step 2: Convert to fraction form
    8,469.57/11,689.47 = 4,932.75/x
  3. Step 3: Cross multiply
    8,469.57x = 11,689.47 × 4,932.75
  4. Step 4: Simplify right side
    8,469.57x = 57,661,233.14
  5. Step 5: Solve for x
    x = 57,661,233.14/8,469.57
  6. Step 6: Final answer
    x = 6,808.05

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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.