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Finding the Fourth Proportional to 4,808.59, 7,213.46 and 4,546.15

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Solution

The fourth proportional to 4,808.59, 7,213.46 and 4,546.15 is: 6,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.59 : 7,213.46 = 4,546.15 : x
  2. Step 2: Convert to fraction form
    4,808.59/7,213.46 = 4,546.15/x
  3. Step 3: Cross multiply
    4,808.59x = 7,213.46 × 4,546.15
  4. Step 4: Simplify right side
    4,808.59x = 32,793,476.27
  5. Step 5: Solve for x
    x = 32,793,476.27/4,808.59
  6. Step 6: Final answer
    x = 6,819.77

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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.