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Finding the Fourth Proportional to 4,691.70, 7,034.82 and 1,770.24

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Solution

The fourth proportional to 4,691.70, 7,034.82 and 1,770.24 is: 2,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.70 : 7,034.82 = 1,770.24 : x
  2. Step 2: Convert to fraction form
    4,691.70/7,034.82 = 1,770.24/x
  3. Step 3: Cross multiply
    4,691.70x = 7,034.82 × 1,770.24
  4. Step 4: Simplify right side
    4,691.70x = 12,453,319.76
  5. Step 5: Solve for x
    x = 12,453,319.76/4,691.70
  6. Step 6: Final answer
    x = 2,654.33

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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.