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Finding the Fourth Proportional to 22,627.72, 33,935.10 and 7,832.80

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Solution

The fourth proportional to 22,627.72, 33,935.10 and 7,832.80 is: 11,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,627.72 : 33,935.10 = 7,832.80 : x
  2. Step 2: Convert to fraction form
    22,627.72/33,935.10 = 7,832.80/x
  3. Step 3: Cross multiply
    22,627.72x = 33,935.10 × 7,832.80
  4. Step 4: Simplify right side
    22,627.72x = 265,806,851.28
  5. Step 5: Solve for x
    x = 265,806,851.28/22,627.72
  6. Step 6: Final answer
    x = 11,746.96

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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.