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Finding the Fourth Proportional to 23,922.32, 35,885.32 and 7,283.78

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Solution

The fourth proportional to 23,922.32, 35,885.32 and 7,283.78 is: 10,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.32 : 35,885.32 = 7,283.78 : x
  2. Step 2: Convert to fraction form
    23,922.32/35,885.32 = 7,283.78/x
  3. Step 3: Cross multiply
    23,922.32x = 35,885.32 × 7,283.78
  4. Step 4: Simplify right side
    23,922.32x = 261,380,776.11
  5. Step 5: Solve for x
    x = 261,380,776.11/23,922.32
  6. Step 6: Final answer
    x = 10,926.23

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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.