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Finding the Fourth Proportional to 6,705.72, 9,254.16 and 3,873

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Solution

The fourth proportional to 6,705.72, 9,254.16 and 3,873 is: 5,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.72 : 9,254.16 = 3,873 : x
  2. Step 2: Convert to fraction form
    6,705.72/9,254.16 = 3,873/x
  3. Step 3: Cross multiply
    6,705.72x = 9,254.16 × 3,873
  4. Step 4: Simplify right side
    6,705.72x = 35,841,361.68
  5. Step 5: Solve for x
    x = 35,841,361.68/6,705.72
  6. Step 6: Final answer
    x = 5,344.89

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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.