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Finding the Fourth Proportional to 23,887.28, 35,837.40 and 8,306.12

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Solution

The fourth proportional to 23,887.28, 35,837.40 and 8,306.12 is: 12,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.28 : 35,837.40 = 8,306.12 : x
  2. Step 2: Convert to fraction form
    23,887.28/35,837.40 = 8,306.12/x
  3. Step 3: Cross multiply
    23,887.28x = 35,837.40 × 8,306.12
  4. Step 4: Simplify right side
    23,887.28x = 297,669,744.89
  5. Step 5: Solve for x
    x = 297,669,744.89/23,887.28
  6. Step 6: Final answer
    x = 12,461.43

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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.