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Finding the Fourth Proportional to 23,874.34, 35,813.22 and 6,343.78

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Solution

The fourth proportional to 23,874.34, 35,813.22 and 6,343.78 is: 9,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.34 : 35,813.22 = 6,343.78 : x
  2. Step 2: Convert to fraction form
    23,874.34/35,813.22 = 6,343.78/x
  3. Step 3: Cross multiply
    23,874.34x = 35,813.22 × 6,343.78
  4. Step 4: Simplify right side
    23,874.34x = 227,191,188.77
  5. Step 5: Solve for x
    x = 227,191,188.77/23,874.34
  6. Step 6: Final answer
    x = 9,516.12

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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.