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Finding the Fourth Proportional to 12,049.57, 18,056.58 and 6,787.12

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Solution

The fourth proportional to 12,049.57, 18,056.58 and 6,787.12 is: 10,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.57 : 18,056.58 = 6,787.12 : x
  2. Step 2: Convert to fraction form
    12,049.57/18,056.58 = 6,787.12/x
  3. Step 3: Cross multiply
    12,049.57x = 18,056.58 × 6,787.12
  4. Step 4: Simplify right side
    12,049.57x = 122,552,175.25
  5. Step 5: Solve for x
    x = 122,552,175.25/12,049.57
  6. Step 6: Final answer
    x = 10,170.67

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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.