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Finding the Fourth Proportional to 11,902.43, 16,425.97 and 6,597.14

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Solution

The fourth proportional to 11,902.43, 16,425.97 and 6,597.14 is: 9,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.43 : 16,425.97 = 6,597.14 : x
  2. Step 2: Convert to fraction form
    11,902.43/16,425.97 = 6,597.14/x
  3. Step 3: Cross multiply
    11,902.43x = 16,425.97 × 6,597.14
  4. Step 4: Simplify right side
    11,902.43x = 108,364,325.10
  5. Step 5: Solve for x
    x = 108,364,325.10/11,902.43
  6. Step 6: Final answer
    x = 9,104.38

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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.