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Finding the Fourth Proportional to 20,493.59, 30,740.40 and 5,702.54

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Solution

The fourth proportional to 20,493.59, 30,740.40 and 5,702.54 is: 8,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.59 : 30,740.40 = 5,702.54 : x
  2. Step 2: Convert to fraction form
    20,493.59/30,740.40 = 5,702.54/x
  3. Step 3: Cross multiply
    20,493.59x = 30,740.40 × 5,702.54
  4. Step 4: Simplify right side
    20,493.59x = 175,298,206.91
  5. Step 5: Solve for x
    x = 175,298,206.91/20,493.59
  6. Step 6: Final answer
    x = 8,553.81

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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.