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Finding the Fourth Proportional to 6,664.32, 9,996.48 and 3,738.24

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Solution

The fourth proportional to 6,664.32, 9,996.48 and 3,738.24 is: 5,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.32 : 9,996.48 = 3,738.24 : x
  2. Step 2: Convert to fraction form
    6,664.32/9,996.48 = 3,738.24/x
  3. Step 3: Cross multiply
    6,664.32x = 9,996.48 × 3,738.24
  4. Step 4: Simplify right side
    6,664.32x = 37,369,241.40
  5. Step 5: Solve for x
    x = 37,369,241.40/6,664.32
  6. Step 6: Final answer
    x = 5,607.36

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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.