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Finding the Fourth Proportional to 11,677.92, 17,527.83 and 5,442.22

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Solution

The fourth proportional to 11,677.92, 17,527.83 and 5,442.22 is: 8,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.92 : 17,527.83 = 5,442.22 : x
  2. Step 2: Convert to fraction form
    11,677.92/17,527.83 = 5,442.22/x
  3. Step 3: Cross multiply
    11,677.92x = 17,527.83 × 5,442.22
  4. Step 4: Simplify right side
    11,677.92x = 95,390,306.98
  5. Step 5: Solve for x
    x = 95,390,306.98/11,677.92
  6. Step 6: Final answer
    x = 8,168.43

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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.