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Finding the Fourth Proportional to 4,771.68, 7,158.12 and 2,000.25

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Solution

The fourth proportional to 4,771.68, 7,158.12 and 2,000.25 is: 3,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.68 : 7,158.12 = 2,000.25 : x
  2. Step 2: Convert to fraction form
    4,771.68/7,158.12 = 2,000.25/x
  3. Step 3: Cross multiply
    4,771.68x = 7,158.12 × 2,000.25
  4. Step 4: Simplify right side
    4,771.68x = 14,318,029.53
  5. Step 5: Solve for x
    x = 14,318,029.53/4,771.68
  6. Step 6: Final answer
    x = 3,000.63

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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.