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Finding the Fourth Proportional to 15,229.26, 22,825.62 and 7,837.20

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Solution

The fourth proportional to 15,229.26, 22,825.62 and 7,837.20 is: 11,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.26 : 22,825.62 = 7,837.20 : x
  2. Step 2: Convert to fraction form
    15,229.26/22,825.62 = 7,837.20/x
  3. Step 3: Cross multiply
    15,229.26x = 22,825.62 × 7,837.20
  4. Step 4: Simplify right side
    15,229.26x = 178,888,949.06
  5. Step 5: Solve for x
    x = 178,888,949.06/15,229.26
  6. Step 6: Final answer
    x = 11,746.40

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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.