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Finding the Fourth Proportional to 12,517.68, 17,274.24 and 7,549.68

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Solution

The fourth proportional to 12,517.68, 17,274.24 and 7,549.68 is: 10,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.68 : 17,274.24 = 7,549.68 : x
  2. Step 2: Convert to fraction form
    12,517.68/17,274.24 = 7,549.68/x
  3. Step 3: Cross multiply
    12,517.68x = 17,274.24 × 7,549.68
  4. Step 4: Simplify right side
    12,517.68x = 130,414,984.24
  5. Step 5: Solve for x
    x = 130,414,984.24/12,517.68
  6. Step 6: Final answer
    x = 10,418.46

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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.