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Finding the Fourth Proportional to 23,522.86, 35,284.29 and 7,951.42

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Solution

The fourth proportional to 23,522.86, 35,284.29 and 7,951.42 is: 11,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.86 : 35,284.29 = 7,951.42 : x
  2. Step 2: Convert to fraction form
    23,522.86/35,284.29 = 7,951.42/x
  3. Step 3: Cross multiply
    23,522.86x = 35,284.29 × 7,951.42
  4. Step 4: Simplify right side
    23,522.86x = 280,560,209.19
  5. Step 5: Solve for x
    x = 280,560,209.19/23,522.86
  6. Step 6: Final answer
    x = 11,927.13

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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.