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Finding the Fourth Proportional to 5,251.02, 7,847.52 and 4,947.54

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Solution

The fourth proportional to 5,251.02, 7,847.52 and 4,947.54 is: 7,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.02 : 7,847.52 = 4,947.54 : x
  2. Step 2: Convert to fraction form
    5,251.02/7,847.52 = 4,947.54/x
  3. Step 3: Cross multiply
    5,251.02x = 7,847.52 × 4,947.54
  4. Step 4: Simplify right side
    5,251.02x = 38,825,919.10
  5. Step 5: Solve for x
    x = 38,825,919.10/5,251.02
  6. Step 6: Final answer
    x = 7,393.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.