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Finding the Fourth Proportional to 9,394.50, 12,964.50 and 5,202.84

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Solution

The fourth proportional to 9,394.50, 12,964.50 and 5,202.84 is: 7,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.50 : 12,964.50 = 5,202.84 : x
  2. Step 2: Convert to fraction form
    9,394.50/12,964.50 = 5,202.84/x
  3. Step 3: Cross multiply
    9,394.50x = 12,964.50 × 5,202.84
  4. Step 4: Simplify right side
    9,394.50x = 67,452,219.18
  5. Step 5: Solve for x
    x = 67,452,219.18/9,394.50
  6. Step 6: Final answer
    x = 7,179.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.