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Finding the Fourth Proportional to 7,866.32, 11,793.20 and 3,704.13

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Solution

The fourth proportional to 7,866.32, 11,793.20 and 3,704.13 is: 5,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.32 : 11,793.20 = 3,704.13 : x
  2. Step 2: Convert to fraction form
    7,866.32/11,793.20 = 3,704.13/x
  3. Step 3: Cross multiply
    7,866.32x = 11,793.20 × 3,704.13
  4. Step 4: Simplify right side
    7,866.32x = 43,683,527.40
  5. Step 5: Solve for x
    x = 43,683,527.40/7,866.32
  6. Step 6: Final answer
    x = 5,553.24

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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.