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Finding the Fourth Proportional to 17,140.41, 25,712.64 and 7,274.21

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Solution

The fourth proportional to 17,140.41, 25,712.64 and 7,274.21 is: 10,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.41 : 25,712.64 = 7,274.21 : x
  2. Step 2: Convert to fraction form
    17,140.41/25,712.64 = 7,274.21/x
  3. Step 3: Cross multiply
    17,140.41x = 25,712.64 × 7,274.21
  4. Step 4: Simplify right side
    17,140.41x = 187,039,014.45
  5. Step 5: Solve for x
    x = 187,039,014.45/17,140.41
  6. Step 6: Final answer
    x = 10,912.17

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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.