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Finding the Fourth Proportional to 11,609.96, 16,022.18 and 6,641

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Solution

The fourth proportional to 11,609.96, 16,022.18 and 6,641 is: 9,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.96 : 16,022.18 = 6,641 : x
  2. Step 2: Convert to fraction form
    11,609.96/16,022.18 = 6,641/x
  3. Step 3: Cross multiply
    11,609.96x = 16,022.18 × 6,641
  4. Step 4: Simplify right side
    11,609.96x = 106,403,297.38
  5. Step 5: Solve for x
    x = 106,403,297.38/11,609.96
  6. Step 6: Final answer
    x = 9,164.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.