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Finding the Fourth Proportional to 6,314.97, 9,472.23 and 1,932.45

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Solution

The fourth proportional to 6,314.97, 9,472.23 and 1,932.45 is: 2,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.97 : 9,472.23 = 1,932.45 : x
  2. Step 2: Convert to fraction form
    6,314.97/9,472.23 = 1,932.45/x
  3. Step 3: Cross multiply
    6,314.97x = 9,472.23 × 1,932.45
  4. Step 4: Simplify right side
    6,314.97x = 18,304,610.86
  5. Step 5: Solve for x
    x = 18,304,610.86/6,314.97
  6. Step 6: Final answer
    x = 2,898.61

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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.