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Finding the Fourth Proportional to 19,609.38, 29,414.38 and 6,284.88

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Solution

The fourth proportional to 19,609.38, 29,414.38 and 6,284.88 is: 9,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.38 : 29,414.38 = 6,284.88 : x
  2. Step 2: Convert to fraction form
    19,609.38/29,414.38 = 6,284.88/x
  3. Step 3: Cross multiply
    19,609.38x = 29,414.38 × 6,284.88
  4. Step 4: Simplify right side
    19,609.38x = 184,865,848.57
  5. Step 5: Solve for x
    x = 184,865,848.57/19,609.38
  6. Step 6: Final answer
    x = 9,427.42

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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.