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Finding the Fourth Proportional to 7,825.56, 11,739.54 and 2,827.56

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Solution

The fourth proportional to 7,825.56, 11,739.54 and 2,827.56 is: 4,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.56 : 11,739.54 = 2,827.56 : x
  2. Step 2: Convert to fraction form
    7,825.56/11,739.54 = 2,827.56/x
  3. Step 3: Cross multiply
    7,825.56x = 11,739.54 × 2,827.56
  4. Step 4: Simplify right side
    7,825.56x = 33,194,253.72
  5. Step 5: Solve for x
    x = 33,194,253.72/7,825.56
  6. Step 6: Final answer
    x = 4,241.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.