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Finding the Fourth Proportional to 7,076.46, 9,765.84 and 3,932.46

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Solution

The fourth proportional to 7,076.46, 9,765.84 and 3,932.46 is: 5,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.46 : 9,765.84 = 3,932.46 : x
  2. Step 2: Convert to fraction form
    7,076.46/9,765.84 = 3,932.46/x
  3. Step 3: Cross multiply
    7,076.46x = 9,765.84 × 3,932.46
  4. Step 4: Simplify right side
    7,076.46x = 38,403,775.17
  5. Step 5: Solve for x
    x = 38,403,775.17/7,076.46
  6. Step 6: Final answer
    x = 5,426.98

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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.