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Finding the Fourth Proportional to 5,297.78, 7,947.70 and 1,600.30

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Solution

The fourth proportional to 5,297.78, 7,947.70 and 1,600.30 is: 2,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.78 : 7,947.70 = 1,600.30 : x
  2. Step 2: Convert to fraction form
    5,297.78/7,947.70 = 1,600.30/x
  3. Step 3: Cross multiply
    5,297.78x = 7,947.70 × 1,600.30
  4. Step 4: Simplify right side
    5,297.78x = 12,718,704.31
  5. Step 5: Solve for x
    x = 12,718,704.31/5,297.78
  6. Step 6: Final answer
    x = 2,400.76

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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.