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Finding the Fourth Proportional to 6,647.80, 9,174.49 and 3,664.18

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Solution

The fourth proportional to 6,647.80, 9,174.49 and 3,664.18 is: 5,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.80 : 9,174.49 = 3,664.18 : x
  2. Step 2: Convert to fraction form
    6,647.80/9,174.49 = 3,664.18/x
  3. Step 3: Cross multiply
    6,647.80x = 9,174.49 × 3,664.18
  4. Step 4: Simplify right side
    6,647.80x = 33,616,982.77
  5. Step 5: Solve for x
    x = 33,616,982.77/6,647.80
  6. Step 6: Final answer
    x = 5,056.86

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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.