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Finding the Fourth Proportional to 23,885.36, 35,828.04 and 8,292

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Solution

The fourth proportional to 23,885.36, 35,828.04 and 8,292 is: 12,438

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.36 : 35,828.04 = 8,292 : x
  2. Step 2: Convert to fraction form
    23,885.36/35,828.04 = 8,292/x
  3. Step 3: Cross multiply
    23,885.36x = 35,828.04 × 8,292
  4. Step 4: Simplify right side
    23,885.36x = 297,086,107.68
  5. Step 5: Solve for x
    x = 297,086,107.68/23,885.36
  6. Step 6: Final answer
    x = 12,438

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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.