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Finding the Fourth Proportional to 5,906, 8,150.12 and 3,253.38

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Solution

The fourth proportional to 5,906, 8,150.12 and 3,253.38 is: 4,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,150.12 = 3,253.38 : x
  2. Step 2: Convert to fraction form
    5,906/8,150.12 = 3,253.38/x
  3. Step 3: Cross multiply
    5,906x = 8,150.12 × 3,253.38
  4. Step 4: Simplify right side
    5,906x = 26,515,437.41
  5. Step 5: Solve for x
    x = 26,515,437.41/5,906
  6. Step 6: Final answer
    x = 4,489.58

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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.