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Finding the Fourth Proportional to 17,145.92, 25,722.07 and 7,786.60

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Solution

The fourth proportional to 17,145.92, 25,722.07 and 7,786.60 is: 11,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145.92 : 25,722.07 = 7,786.60 : x
  2. Step 2: Convert to fraction form
    17,145.92/25,722.07 = 7,786.60/x
  3. Step 3: Cross multiply
    17,145.92x = 25,722.07 × 7,786.60
  4. Step 4: Simplify right side
    17,145.92x = 200,287,386.49
  5. Step 5: Solve for x
    x = 200,287,386.49/17,145.92
  6. Step 6: Final answer
    x = 11,681.34

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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.