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Finding the Fourth Proportional to 8,211.80, 12,317.70 and 7,304.60

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Solution

The fourth proportional to 8,211.80, 12,317.70 and 7,304.60 is: 10,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.80 : 12,317.70 = 7,304.60 : x
  2. Step 2: Convert to fraction form
    8,211.80/12,317.70 = 7,304.60/x
  3. Step 3: Cross multiply
    8,211.80x = 12,317.70 × 7,304.60
  4. Step 4: Simplify right side
    8,211.80x = 89,975,871.42
  5. Step 5: Solve for x
    x = 89,975,871.42/8,211.80
  6. Step 6: Final answer
    x = 10,956.90

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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.