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Finding the Fourth Proportional to 6,348.94, 9,523.46 and 1,966.37

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Solution

The fourth proportional to 6,348.94, 9,523.46 and 1,966.37 is: 2,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.94 : 9,523.46 = 1,966.37 : x
  2. Step 2: Convert to fraction form
    6,348.94/9,523.46 = 1,966.37/x
  3. Step 3: Cross multiply
    6,348.94x = 9,523.46 × 1,966.37
  4. Step 4: Simplify right side
    6,348.94x = 18,726,603.34
  5. Step 5: Solve for x
    x = 18,726,603.34/6,348.94
  6. Step 6: Final answer
    x = 2,949.56

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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.