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Finding the Fourth Proportional to 9,199.62, 12,690.81 and 6,014.79

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Solution

The fourth proportional to 9,199.62, 12,690.81 and 6,014.79 is: 8,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.62 : 12,690.81 = 6,014.79 : x
  2. Step 2: Convert to fraction form
    9,199.62/12,690.81 = 6,014.79/x
  3. Step 3: Cross multiply
    9,199.62x = 12,690.81 × 6,014.79
  4. Step 4: Simplify right side
    9,199.62x = 76,332,557.08
  5. Step 5: Solve for x
    x = 76,332,557.08/9,199.62
  6. Step 6: Final answer
    x = 8,297.36

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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.