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Finding the Fourth Proportional to 7,321.65, 10,103.87 and 3,964.46

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Solution

The fourth proportional to 7,321.65, 10,103.87 and 3,964.46 is: 5,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.65 : 10,103.87 = 3,964.46 : x
  2. Step 2: Convert to fraction form
    7,321.65/10,103.87 = 3,964.46/x
  3. Step 3: Cross multiply
    7,321.65x = 10,103.87 × 3,964.46
  4. Step 4: Simplify right side
    7,321.65x = 40,056,318.12
  5. Step 5: Solve for x
    x = 40,056,318.12/7,321.65
  6. Step 6: Final answer
    x = 5,470.94

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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.