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Finding the Fourth Proportional to 17,078.76, 23,571 and 10,008

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Solution

The fourth proportional to 17,078.76, 23,571 and 10,008 is: 13,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.76 : 23,571 = 10,008 : x
  2. Step 2: Convert to fraction form
    17,078.76/23,571 = 10,008/x
  3. Step 3: Cross multiply
    17,078.76x = 23,571 × 10,008
  4. Step 4: Simplify right side
    17,078.76x = 235,898,568
  5. Step 5: Solve for x
    x = 235,898,568/17,078.76
  6. Step 6: Final answer
    x = 13,812.39

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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.