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Finding the Fourth Proportional to 23,425, 35,151.32 and 8,644.24

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Solution

The fourth proportional to 23,425, 35,151.32 and 8,644.24 is: 12,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425 : 35,151.32 = 8,644.24 : x
  2. Step 2: Convert to fraction form
    23,425/35,151.32 = 8,644.24/x
  3. Step 3: Cross multiply
    23,425x = 35,151.32 × 8,644.24
  4. Step 4: Simplify right side
    23,425x = 303,856,446.40
  5. Step 5: Solve for x
    x = 303,856,446.40/23,425
  6. Step 6: Final answer
    x = 12,971.46

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Double scale
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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.