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Finding the Fourth Proportional to 7,174.20, 10,763.10 and 3,478.20

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Solution

The fourth proportional to 7,174.20, 10,763.10 and 3,478.20 is: 5,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.20 : 10,763.10 = 3,478.20 : x
  2. Step 2: Convert to fraction form
    7,174.20/10,763.10 = 3,478.20/x
  3. Step 3: Cross multiply
    7,174.20x = 10,763.10 × 3,478.20
  4. Step 4: Simplify right side
    7,174.20x = 37,436,214.42
  5. Step 5: Solve for x
    x = 37,436,214.42/7,174.20
  6. Step 6: Final answer
    x = 5,218.17

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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.