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Finding the Fourth Proportional to 7,076.45, 9,765.81 and 3,932.64

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Solution

The fourth proportional to 7,076.45, 9,765.81 and 3,932.64 is: 5,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.45 : 9,765.81 = 3,932.64 : x
  2. Step 2: Convert to fraction form
    7,076.45/9,765.81 = 3,932.64/x
  3. Step 3: Cross multiply
    7,076.45x = 9,765.81 × 3,932.64
  4. Step 4: Simplify right side
    7,076.45x = 38,405,415.04
  5. Step 5: Solve for x
    x = 38,405,415.04/7,076.45
  6. Step 6: Final answer
    x = 5,427.22

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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.