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Finding the Fourth Proportional to 4,843, 6,684.16 and 2,748.34

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Solution

The fourth proportional to 4,843, 6,684.16 and 2,748.34 is: 3,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843 : 6,684.16 = 2,748.34 : x
  2. Step 2: Convert to fraction form
    4,843/6,684.16 = 2,748.34/x
  3. Step 3: Cross multiply
    4,843x = 6,684.16 × 2,748.34
  4. Step 4: Simplify right side
    4,843x = 18,370,344.29
  5. Step 5: Solve for x
    x = 18,370,344.29/4,843
  6. Step 6: Final answer
    x = 3,793.17

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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.