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Finding the Fourth Proportional to 17,165, 25,747.66 and 6,776.75

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Solution

The fourth proportional to 17,165, 25,747.66 and 6,776.75 is: 10,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165 : 25,747.66 = 6,776.75 : x
  2. Step 2: Convert to fraction form
    17,165/25,747.66 = 6,776.75/x
  3. Step 3: Cross multiply
    17,165x = 25,747.66 × 6,776.75
  4. Step 4: Simplify right side
    17,165x = 174,485,454.91
  5. Step 5: Solve for x
    x = 174,485,454.91/17,165
  6. Step 6: Final answer
    x = 10,165.19

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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.