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Finding the Fourth Proportional to 4,677.70, 7,016.55 and 4,207.90

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Solution

The fourth proportional to 4,677.70, 7,016.55 and 4,207.90 is: 6,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.70 : 7,016.55 = 4,207.90 : x
  2. Step 2: Convert to fraction form
    4,677.70/7,016.55 = 4,207.90/x
  3. Step 3: Cross multiply
    4,677.70x = 7,016.55 × 4,207.90
  4. Step 4: Simplify right side
    4,677.70x = 29,524,940.75
  5. Step 5: Solve for x
    x = 29,524,940.75/4,677.70
  6. Step 6: Final answer
    x = 6,311.85

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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.