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Finding the Fourth Proportional to 23,632.62, 35,446.98 and 7,832.49

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Solution

The fourth proportional to 23,632.62, 35,446.98 and 7,832.49 is: 11,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.62 : 35,446.98 = 7,832.49 : x
  2. Step 2: Convert to fraction form
    23,632.62/35,446.98 = 7,832.49/x
  3. Step 3: Cross multiply
    23,632.62x = 35,446.98 × 7,832.49
  4. Step 4: Simplify right side
    23,632.62x = 277,638,116.38
  5. Step 5: Solve for x
    x = 277,638,116.38/23,632.62
  6. Step 6: Final answer
    x = 11,748.09

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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.