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Finding the Fourth Proportional to 5,297.42, 7,943.63 and 1,963.37

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Solution

The fourth proportional to 5,297.42, 7,943.63 and 1,963.37 is: 2,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.42 : 7,943.63 = 1,963.37 : x
  2. Step 2: Convert to fraction form
    5,297.42/7,943.63 = 1,963.37/x
  3. Step 3: Cross multiply
    5,297.42x = 7,943.63 × 1,963.37
  4. Step 4: Simplify right side
    5,297.42x = 15,596,235.30
  5. Step 5: Solve for x
    x = 15,596,235.30/5,297.42
  6. Step 6: Final answer
    x = 2,944.12

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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.