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Finding the Fourth Proportional to 12,588.84, 18,882.03 and 3,823.83

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Solution

The fourth proportional to 12,588.84, 18,882.03 and 3,823.83 is: 5,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.84 : 18,882.03 = 3,823.83 : x
  2. Step 2: Convert to fraction form
    12,588.84/18,882.03 = 3,823.83/x
  3. Step 3: Cross multiply
    12,588.84x = 18,882.03 × 3,823.83
  4. Step 4: Simplify right side
    12,588.84x = 72,201,672.77
  5. Step 5: Solve for x
    x = 72,201,672.77/12,588.84
  6. Step 6: Final answer
    x = 5,735.37

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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.