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Finding the Fourth Proportional to 7,049.70, 9,745.92 and 6,983.28

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Solution

The fourth proportional to 7,049.70, 9,745.92 and 6,983.28 is: 9,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.70 : 9,745.92 = 6,983.28 : x
  2. Step 2: Convert to fraction form
    7,049.70/9,745.92 = 6,983.28/x
  3. Step 3: Cross multiply
    7,049.70x = 9,745.92 × 6,983.28
  4. Step 4: Simplify right side
    7,049.70x = 68,058,488.22
  5. Step 5: Solve for x
    x = 68,058,488.22/7,049.70
  6. Step 6: Final answer
    x = 9,654.10

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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.