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Finding the Fourth Proportional to 5,906.96, 8,848.29 and 4,266.80

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Solution

The fourth proportional to 5,906.96, 8,848.29 and 4,266.80 is: 6,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.96 : 8,848.29 = 4,266.80 : x
  2. Step 2: Convert to fraction form
    5,906.96/8,848.29 = 4,266.80/x
  3. Step 3: Cross multiply
    5,906.96x = 8,848.29 × 4,266.80
  4. Step 4: Simplify right side
    5,906.96x = 37,753,883.77
  5. Step 5: Solve for x
    x = 37,753,883.77/5,906.96
  6. Step 6: Final answer
    x = 6,391.42

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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.