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Finding the Fourth Proportional to 20,174.57, 30,266.71 and 6,323.57

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Solution

The fourth proportional to 20,174.57, 30,266.71 and 6,323.57 is: 9,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.57 : 30,266.71 = 6,323.57 : x
  2. Step 2: Convert to fraction form
    20,174.57/30,266.71 = 6,323.57/x
  3. Step 3: Cross multiply
    20,174.57x = 30,266.71 × 6,323.57
  4. Step 4: Simplify right side
    20,174.57x = 191,393,476.40
  5. Step 5: Solve for x
    x = 191,393,476.40/20,174.57
  6. Step 6: Final answer
    x = 9,486.87

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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.