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Finding the Fourth Proportional to 4,773.62, 7,153.16 and 2,305.48

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Solution

The fourth proportional to 4,773.62, 7,153.16 and 2,305.48 is: 3,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.62 : 7,153.16 = 2,305.48 : x
  2. Step 2: Convert to fraction form
    4,773.62/7,153.16 = 2,305.48/x
  3. Step 3: Cross multiply
    4,773.62x = 7,153.16 × 2,305.48
  4. Step 4: Simplify right side
    4,773.62x = 16,491,431.55
  5. Step 5: Solve for x
    x = 16,491,431.55/4,773.62
  6. Step 6: Final answer
    x = 3,454.70

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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.