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Finding the Fourth Proportional to 4,770.40, 7,141.20 and 4,194.40

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Solution

The fourth proportional to 4,770.40, 7,141.20 and 4,194.40 is: 6,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.40 : 7,141.20 = 4,194.40 : x
  2. Step 2: Convert to fraction form
    4,770.40/7,141.20 = 4,194.40/x
  3. Step 3: Cross multiply
    4,770.40x = 7,141.20 × 4,194.40
  4. Step 4: Simplify right side
    4,770.40x = 29,953,049.28
  5. Step 5: Solve for x
    x = 29,953,049.28/4,770.40
  6. Step 6: Final answer
    x = 6,278.94

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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.