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Finding the Fourth Proportional to 11,735.52, 17,515.14 and 10,147.23

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Solution

The fourth proportional to 11,735.52, 17,515.14 and 10,147.23 is: 15,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.52 : 17,515.14 = 10,147.23 : x
  2. Step 2: Convert to fraction form
    11,735.52/17,515.14 = 10,147.23/x
  3. Step 3: Cross multiply
    11,735.52x = 17,515.14 × 10,147.23
  4. Step 4: Simplify right side
    11,735.52x = 177,730,154.06
  5. Step 5: Solve for x
    x = 177,730,154.06/11,735.52
  6. Step 6: Final answer
    x = 15,144.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.