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Finding the Fourth Proportional to 4,712.97, 7,080.46 and 4,446.97

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Solution

The fourth proportional to 4,712.97, 7,080.46 and 4,446.97 is: 6,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.97 : 7,080.46 = 4,446.97 : x
  2. Step 2: Convert to fraction form
    4,712.97/7,080.46 = 4,446.97/x
  3. Step 3: Cross multiply
    4,712.97x = 7,080.46 × 4,446.97
  4. Step 4: Simplify right side
    4,712.97x = 31,486,577.66
  5. Step 5: Solve for x
    x = 31,486,577.66/4,712.97
  6. Step 6: Final answer
    x = 6,680.84

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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.