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Finding the Fourth Proportional to 8,509.41, 11,739.78 and 6,276.65

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Solution

The fourth proportional to 8,509.41, 11,739.78 and 6,276.65 is: 8,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.41 : 11,739.78 = 6,276.65 : x
  2. Step 2: Convert to fraction form
    8,509.41/11,739.78 = 6,276.65/x
  3. Step 3: Cross multiply
    8,509.41x = 11,739.78 × 6,276.65
  4. Step 4: Simplify right side
    8,509.41x = 73,686,431.44
  5. Step 5: Solve for x
    x = 73,686,431.44/8,509.41
  6. Step 6: Final answer
    x = 8,659.41

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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.