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Finding the Fourth Proportional to 4,766.40, 7,135.20 and 4,190.40

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Solution

The fourth proportional to 4,766.40, 7,135.20 and 4,190.40 is: 6,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.40 : 7,135.20 = 4,190.40 : x
  2. Step 2: Convert to fraction form
    4,766.40/7,135.20 = 4,190.40/x
  3. Step 3: Cross multiply
    4,766.40x = 7,135.20 × 4,190.40
  4. Step 4: Simplify right side
    4,766.40x = 29,899,342.08
  5. Step 5: Solve for x
    x = 29,899,342.08/4,766.40
  6. Step 6: Final answer
    x = 6,272.94

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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.