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Finding the Fourth Proportional to 12,576.66, 17,357.94 and 7,274.70

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Solution

The fourth proportional to 12,576.66, 17,357.94 and 7,274.70 is: 10,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.66 : 17,357.94 = 7,274.70 : x
  2. Step 2: Convert to fraction form
    12,576.66/17,357.94 = 7,274.70/x
  3. Step 3: Cross multiply
    12,576.66x = 17,357.94 × 7,274.70
  4. Step 4: Simplify right side
    12,576.66x = 126,273,806.12
  5. Step 5: Solve for x
    x = 126,273,806.12/12,576.66
  6. Step 6: Final answer
    x = 10,040.33

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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.