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Finding the Fourth Proportional to 7,314.80, 10,972.20 and 4,204.40

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Solution

The fourth proportional to 7,314.80, 10,972.20 and 4,204.40 is: 6,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.80 : 10,972.20 = 4,204.40 : x
  2. Step 2: Convert to fraction form
    7,314.80/10,972.20 = 4,204.40/x
  3. Step 3: Cross multiply
    7,314.80x = 10,972.20 × 4,204.40
  4. Step 4: Simplify right side
    7,314.80x = 46,131,517.68
  5. Step 5: Solve for x
    x = 46,131,517.68/7,314.80
  6. Step 6: Final answer
    x = 6,306.60

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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.