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Finding the Fourth Proportional to 10,028.64, 13,840.73 and 5,836.89

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Solution

The fourth proportional to 10,028.64, 13,840.73 and 5,836.89 is: 8,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.64 : 13,840.73 = 5,836.89 : x
  2. Step 2: Convert to fraction form
    10,028.64/13,840.73 = 5,836.89/x
  3. Step 3: Cross multiply
    10,028.64x = 13,840.73 × 5,836.89
  4. Step 4: Simplify right side
    10,028.64x = 80,786,789.35
  5. Step 5: Solve for x
    x = 80,786,789.35/10,028.64
  6. Step 6: Final answer
    x = 8,055.61

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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.