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Finding the Fourth Proportional to 11,793.84, 16,271.64 and 6,758.64

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Solution

The fourth proportional to 11,793.84, 16,271.64 and 6,758.64 is: 9,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.84 : 16,271.64 = 6,758.64 : x
  2. Step 2: Convert to fraction form
    11,793.84/16,271.64 = 6,758.64/x
  3. Step 3: Cross multiply
    11,793.84x = 16,271.64 × 6,758.64
  4. Step 4: Simplify right side
    11,793.84x = 109,974,156.97
  5. Step 5: Solve for x
    x = 109,974,156.97/11,793.84
  6. Step 6: Final answer
    x = 9,324.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.