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Finding the Fourth Proportional to 6,659.31, 9,190.29 and 3,827.60

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Solution

The fourth proportional to 6,659.31, 9,190.29 and 3,827.60 is: 5,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.31 : 9,190.29 = 3,827.60 : x
  2. Step 2: Convert to fraction form
    6,659.31/9,190.29 = 3,827.60/x
  3. Step 3: Cross multiply
    6,659.31x = 9,190.29 × 3,827.60
  4. Step 4: Simplify right side
    6,659.31x = 35,176,754.00
  5. Step 5: Solve for x
    x = 35,176,754.00/6,659.31
  6. Step 6: Final answer
    x = 5,282.34

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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.