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Finding the Fourth Proportional to 23,893.56, 35,825.76 and 9,849.24

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Solution

The fourth proportional to 23,893.56, 35,825.76 and 9,849.24 is: 14,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.56 : 35,825.76 = 9,849.24 : x
  2. Step 2: Convert to fraction form
    23,893.56/35,825.76 = 9,849.24/x
  3. Step 3: Cross multiply
    23,893.56x = 35,825.76 × 9,849.24
  4. Step 4: Simplify right side
    23,893.56x = 352,856,508.42
  5. Step 5: Solve for x
    x = 352,856,508.42/23,893.56
  6. Step 6: Final answer
    x = 14,767.85

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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.