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Finding the Fourth Proportional to 20,494.94, 30,739.34 and 5,702.34

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Solution

The fourth proportional to 20,494.94, 30,739.34 and 5,702.34 is: 8,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.94 : 30,739.34 = 5,702.34 : x
  2. Step 2: Convert to fraction form
    20,494.94/30,739.34 = 5,702.34/x
  3. Step 3: Cross multiply
    20,494.94x = 30,739.34 × 5,702.34
  4. Step 4: Simplify right side
    20,494.94x = 175,286,168.06
  5. Step 5: Solve for x
    x = 175,286,168.06/20,494.94
  6. Step 6: Final answer
    x = 8,552.66

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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.