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Finding the Fourth Proportional to 8,304.70, 12,459.46 and 2,461.42

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Solution

The fourth proportional to 8,304.70, 12,459.46 and 2,461.42 is: 3,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.70 : 12,459.46 = 2,461.42 : x
  2. Step 2: Convert to fraction form
    8,304.70/12,459.46 = 2,461.42/x
  3. Step 3: Cross multiply
    8,304.70x = 12,459.46 × 2,461.42
  4. Step 4: Simplify right side
    8,304.70x = 30,667,964.03
  5. Step 5: Solve for x
    x = 30,667,964.03/8,304.70
  6. Step 6: Final answer
    x = 3,692.84

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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.