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Finding the Fourth Proportional to 5,106.88, 7,660.32 and 1,644.64

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Solution

The fourth proportional to 5,106.88, 7,660.32 and 1,644.64 is: 2,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.88 : 7,660.32 = 1,644.64 : x
  2. Step 2: Convert to fraction form
    5,106.88/7,660.32 = 1,644.64/x
  3. Step 3: Cross multiply
    5,106.88x = 7,660.32 × 1,644.64
  4. Step 4: Simplify right side
    5,106.88x = 12,598,468.68
  5. Step 5: Solve for x
    x = 12,598,468.68/5,106.88
  6. Step 6: Final answer
    x = 2,466.96

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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.