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Finding the Fourth Proportional to 7,109.92, 10,664.88 and 3,644.96

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Solution

The fourth proportional to 7,109.92, 10,664.88 and 3,644.96 is: 5,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.92 : 10,664.88 = 3,644.96 : x
  2. Step 2: Convert to fraction form
    7,109.92/10,664.88 = 3,644.96/x
  3. Step 3: Cross multiply
    7,109.92x = 10,664.88 × 3,644.96
  4. Step 4: Simplify right side
    7,109.92x = 38,873,061.00
  5. Step 5: Solve for x
    x = 38,873,061.00/7,109.92
  6. Step 6: Final answer
    x = 5,467.44

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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.