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Finding the Fourth Proportional to 7,611.40, 11,409.81 and 3,222.82

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Solution

The fourth proportional to 7,611.40, 11,409.81 and 3,222.82 is: 4,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.40 : 11,409.81 = 3,222.82 : x
  2. Step 2: Convert to fraction form
    7,611.40/11,409.81 = 3,222.82/x
  3. Step 3: Cross multiply
    7,611.40x = 11,409.81 × 3,222.82
  4. Step 4: Simplify right side
    7,611.40x = 36,771,763.86
  5. Step 5: Solve for x
    x = 36,771,763.86/7,611.40
  6. Step 6: Final answer
    x = 4,831.14

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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.