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Finding the Fourth Proportional to 4,797.63, 7,193.34 and 2,297.48

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Solution

The fourth proportional to 4,797.63, 7,193.34 and 2,297.48 is: 3,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.63 : 7,193.34 = 2,297.48 : x
  2. Step 2: Convert to fraction form
    4,797.63/7,193.34 = 2,297.48/x
  3. Step 3: Cross multiply
    4,797.63x = 7,193.34 × 2,297.48
  4. Step 4: Simplify right side
    4,797.63x = 16,526,518.82
  5. Step 5: Solve for x
    x = 16,526,518.82/4,797.63
  6. Step 6: Final answer
    x = 3,444.73

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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.