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Finding the Fourth Proportional to 6,648.21, 9,174.54 and 3,664.32

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Solution

The fourth proportional to 6,648.21, 9,174.54 and 3,664.32 is: 5,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.21 : 9,174.54 = 3,664.32 : x
  2. Step 2: Convert to fraction form
    6,648.21/9,174.54 = 3,664.32/x
  3. Step 3: Cross multiply
    6,648.21x = 9,174.54 × 3,664.32
  4. Step 4: Simplify right side
    6,648.21x = 33,618,450.41
  5. Step 5: Solve for x
    x = 33,618,450.41/6,648.21
  6. Step 6: Final answer
    x = 5,056.77

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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.