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Finding the Fourth Proportional to 18,200.70, 27,301.05 and 6,514.83

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Solution

The fourth proportional to 18,200.70, 27,301.05 and 6,514.83 is: 9,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.70 : 27,301.05 = 6,514.83 : x
  2. Step 2: Convert to fraction form
    18,200.70/27,301.05 = 6,514.83/x
  3. Step 3: Cross multiply
    18,200.70x = 27,301.05 × 6,514.83
  4. Step 4: Simplify right side
    18,200.70x = 177,861,699.57
  5. Step 5: Solve for x
    x = 177,861,699.57/18,200.70
  6. Step 6: Final answer
    x = 9,772.25

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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.