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Finding the Fourth Proportional to 24,787.42, 37,178.41 and 7,257.42

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Solution

The fourth proportional to 24,787.42, 37,178.41 and 7,257.42 is: 10,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.42 : 37,178.41 = 7,257.42 : x
  2. Step 2: Convert to fraction form
    24,787.42/37,178.41 = 7,257.42/x
  3. Step 3: Cross multiply
    24,787.42x = 37,178.41 × 7,257.42
  4. Step 4: Simplify right side
    24,787.42x = 269,819,336.30
  5. Step 5: Solve for x
    x = 269,819,336.30/24,787.42
  6. Step 6: Final answer
    x = 10,885.33

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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.