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Finding the Fourth Proportional to 11,609.40, 17,414.10 and 4,214.10

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Solution

The fourth proportional to 11,609.40, 17,414.10 and 4,214.10 is: 6,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.40 : 17,414.10 = 4,214.10 : x
  2. Step 2: Convert to fraction form
    11,609.40/17,414.10 = 4,214.10/x
  3. Step 3: Cross multiply
    11,609.40x = 17,414.10 × 4,214.10
  4. Step 4: Simplify right side
    11,609.40x = 73,384,758.81
  5. Step 5: Solve for x
    x = 73,384,758.81/11,609.40
  6. Step 6: Final answer
    x = 6,321.15

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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.