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Finding the Fourth Proportional to 6,342.06, 8,750.46 and 3,825.64

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Solution

The fourth proportional to 6,342.06, 8,750.46 and 3,825.64 is: 5,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.06 : 8,750.46 = 3,825.64 : x
  2. Step 2: Convert to fraction form
    6,342.06/8,750.46 = 3,825.64/x
  3. Step 3: Cross multiply
    6,342.06x = 8,750.46 × 3,825.64
  4. Step 4: Simplify right side
    6,342.06x = 33,476,135.08
  5. Step 5: Solve for x
    x = 33,476,135.08/6,342.06
  6. Step 6: Final answer
    x = 5,278.43

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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.