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Finding the Fourth Proportional to 20,474.81, 30,712.82 and 5,684.82

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Solution

The fourth proportional to 20,474.81, 30,712.82 and 5,684.82 is: 8,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.81 : 30,712.82 = 5,684.82 : x
  2. Step 2: Convert to fraction form
    20,474.81/30,712.82 = 5,684.82/x
  3. Step 3: Cross multiply
    20,474.81x = 30,712.82 × 5,684.82
  4. Step 4: Simplify right side
    20,474.81x = 174,596,824.97
  5. Step 5: Solve for x
    x = 174,596,824.97/20,474.81
  6. Step 6: Final answer
    x = 8,527.40

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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.