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Finding the Fourth Proportional to 10,028.39, 13,840.38 and 5,836.64

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Solution

The fourth proportional to 10,028.39, 13,840.38 and 5,836.64 is: 8,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.39 : 13,840.38 = 5,836.64 : x
  2. Step 2: Convert to fraction form
    10,028.39/13,840.38 = 5,836.64/x
  3. Step 3: Cross multiply
    10,028.39x = 13,840.38 × 5,836.64
  4. Step 4: Simplify right side
    10,028.39x = 80,781,315.52
  5. Step 5: Solve for x
    x = 80,781,315.52/10,028.39
  6. Step 6: Final answer
    x = 8,055.26

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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.