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Finding the Fourth Proportional to 5,906.80, 8,284.10 and 5,906.80

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Solution

The fourth proportional to 5,906.80, 8,284.10 and 5,906.80 is: 8,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.80 : 8,284.10 = 5,906.80 : x
  2. Step 2: Convert to fraction form
    5,906.80/8,284.10 = 5,906.80/x
  3. Step 3: Cross multiply
    5,906.80x = 8,284.10 × 5,906.80
  4. Step 4: Simplify right side
    5,906.80x = 48,932,521.88
  5. Step 5: Solve for x
    x = 48,932,521.88/5,906.80
  6. Step 6: Final answer
    x = 8,284.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.