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Finding the Fourth Proportional to 11,602.62, 16,001.74 and 8,074.26

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Solution

The fourth proportional to 11,602.62, 16,001.74 and 8,074.26 is: 11,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.62 : 16,001.74 = 8,074.26 : x
  2. Step 2: Convert to fraction form
    11,602.62/16,001.74 = 8,074.26/x
  3. Step 3: Cross multiply
    11,602.62x = 16,001.74 × 8,074.26
  4. Step 4: Simplify right side
    11,602.62x = 129,202,209.21
  5. Step 5: Solve for x
    x = 129,202,209.21/11,602.62
  6. Step 6: Final answer
    x = 11,135.61

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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.