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Finding the Fourth Proportional to 11,902.92, 16,425.50 and 6,868.04

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Solution

The fourth proportional to 11,902.92, 16,425.50 and 6,868.04 is: 9,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.92 : 16,425.50 = 6,868.04 : x
  2. Step 2: Convert to fraction form
    11,902.92/16,425.50 = 6,868.04/x
  3. Step 3: Cross multiply
    11,902.92x = 16,425.50 × 6,868.04
  4. Step 4: Simplify right side
    11,902.92x = 112,810,874.55
  5. Step 5: Solve for x
    x = 112,810,874.55/11,902.92
  6. Step 6: Final answer
    x = 9,477.58

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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.