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Finding the Fourth Proportional to 11,446.65, 15,796.73 and 6,410.86

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Solution

The fourth proportional to 11,446.65, 15,796.73 and 6,410.86 is: 8,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.65 : 15,796.73 = 6,410.86 : x
  2. Step 2: Convert to fraction form
    11,446.65/15,796.73 = 6,410.86/x
  3. Step 3: Cross multiply
    11,446.65x = 15,796.73 × 6,410.86
  4. Step 4: Simplify right side
    11,446.65x = 101,270,624.49
  5. Step 5: Solve for x
    x = 101,270,624.49/11,446.65
  6. Step 6: Final answer
    x = 8,847.18

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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.