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Finding the Fourth Proportional to 18,409.20, 27,613.80 and 6,097.20

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Solution

The fourth proportional to 18,409.20, 27,613.80 and 6,097.20 is: 9,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.20 : 27,613.80 = 6,097.20 : x
  2. Step 2: Convert to fraction form
    18,409.20/27,613.80 = 6,097.20/x
  3. Step 3: Cross multiply
    18,409.20x = 27,613.80 × 6,097.20
  4. Step 4: Simplify right side
    18,409.20x = 168,366,861.36
  5. Step 5: Solve for x
    x = 168,366,861.36/18,409.20
  6. Step 6: Final answer
    x = 9,145.80

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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.