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Finding the Fourth Proportional to 13,031.76, 17,984.94 and 7,367.56

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Solution

The fourth proportional to 13,031.76, 17,984.94 and 7,367.56 is: 10,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.76 : 17,984.94 = 7,367.56 : x
  2. Step 2: Convert to fraction form
    13,031.76/17,984.94 = 7,367.56/x
  3. Step 3: Cross multiply
    13,031.76x = 17,984.94 × 7,367.56
  4. Step 4: Simplify right side
    13,031.76x = 132,505,124.55
  5. Step 5: Solve for x
    x = 132,505,124.55/13,031.76
  6. Step 6: Final answer
    x = 10,167.86

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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.