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Finding the Fourth Proportional to 4,654.34, 6,974.67 and 3,478.82

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Solution

The fourth proportional to 4,654.34, 6,974.67 and 3,478.82 is: 5,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.34 : 6,974.67 = 3,478.82 : x
  2. Step 2: Convert to fraction form
    4,654.34/6,974.67 = 3,478.82/x
  3. Step 3: Cross multiply
    4,654.34x = 6,974.67 × 3,478.82
  4. Step 4: Simplify right side
    4,654.34x = 24,263,621.49
  5. Step 5: Solve for x
    x = 24,263,621.49/4,654.34
  6. Step 6: Final answer
    x = 5,213.12

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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.