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Finding the Fourth Proportional to 6,664.73, 9,997.10 and 3,542.79

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Solution

The fourth proportional to 6,664.73, 9,997.10 and 3,542.79 is: 5,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.73 : 9,997.10 = 3,542.79 : x
  2. Step 2: Convert to fraction form
    6,664.73/9,997.10 = 3,542.79/x
  3. Step 3: Cross multiply
    6,664.73x = 9,997.10 × 3,542.79
  4. Step 4: Simplify right side
    6,664.73x = 35,417,592.77
  5. Step 5: Solve for x
    x = 35,417,592.77/6,664.73
  6. Step 6: Final answer
    x = 5,314.18

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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.