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Finding the Fourth Proportional to 15,344.69, 22,986.97 and 7,954.02

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Solution

The fourth proportional to 15,344.69, 22,986.97 and 7,954.02 is: 11,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,344.69 : 22,986.97 = 7,954.02 : x
  2. Step 2: Convert to fraction form
    15,344.69/22,986.97 = 7,954.02/x
  3. Step 3: Cross multiply
    15,344.69x = 22,986.97 × 7,954.02
  4. Step 4: Simplify right side
    15,344.69x = 182,838,799.23
  5. Step 5: Solve for x
    x = 182,838,799.23/15,344.69
  6. Step 6: Final answer
    x = 11,915.45

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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.