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Finding the Fourth Proportional to 23,882.52, 35,817.64 and 9,846.54

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Solution

The fourth proportional to 23,882.52, 35,817.64 and 9,846.54 is: 14,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.52 : 35,817.64 = 9,846.54 : x
  2. Step 2: Convert to fraction form
    23,882.52/35,817.64 = 9,846.54/x
  3. Step 3: Cross multiply
    23,882.52x = 35,817.64 × 9,846.54
  4. Step 4: Simplify right side
    23,882.52x = 352,679,800.35
  5. Step 5: Solve for x
    x = 352,679,800.35/23,882.52
  6. Step 6: Final answer
    x = 14,767.28

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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.