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Finding the Fourth Proportional to 6,608.46, 9,905.84 and 2,712.54

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Solution

The fourth proportional to 6,608.46, 9,905.84 and 2,712.54 is: 4,066.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.46 : 9,905.84 = 2,712.54 : x
  2. Step 2: Convert to fraction form
    6,608.46/9,905.84 = 2,712.54/x
  3. Step 3: Cross multiply
    6,608.46x = 9,905.84 × 2,712.54
  4. Step 4: Simplify right side
    6,608.46x = 26,869,987.23
  5. Step 5: Solve for x
    x = 26,869,987.23/6,608.46
  6. Step 6: Final answer
    x = 4,066.00

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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.