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Finding the Fourth Proportional to 8,104.68, 11,186.88 and 4,748.22

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Solution

The fourth proportional to 8,104.68, 11,186.88 and 4,748.22 is: 6,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.68 : 11,186.88 = 4,748.22 : x
  2. Step 2: Convert to fraction form
    8,104.68/11,186.88 = 4,748.22/x
  3. Step 3: Cross multiply
    8,104.68x = 11,186.88 × 4,748.22
  4. Step 4: Simplify right side
    8,104.68x = 53,117,767.35
  5. Step 5: Solve for x
    x = 53,117,767.35/8,104.68
  6. Step 6: Final answer
    x = 6,553.96

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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.