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Finding the Fourth Proportional to 6,949.45, 9,563.97 and 5,528.44

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Solution

The fourth proportional to 6,949.45, 9,563.97 and 5,528.44 is: 7,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.45 : 9,563.97 = 5,528.44 : x
  2. Step 2: Convert to fraction form
    6,949.45/9,563.97 = 5,528.44/x
  3. Step 3: Cross multiply
    6,949.45x = 9,563.97 × 5,528.44
  4. Step 4: Simplify right side
    6,949.45x = 52,873,834.31
  5. Step 5: Solve for x
    x = 52,873,834.31/6,949.45
  6. Step 6: Final answer
    x = 7,608.35

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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.