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Finding the Fourth Proportional to 8,449.25, 11,661.39 and 4,914.50

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Solution

The fourth proportional to 8,449.25, 11,661.39 and 4,914.50 is: 6,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.25 : 11,661.39 = 4,914.50 : x
  2. Step 2: Convert to fraction form
    8,449.25/11,661.39 = 4,914.50/x
  3. Step 3: Cross multiply
    8,449.25x = 11,661.39 × 4,914.50
  4. Step 4: Simplify right side
    8,449.25x = 57,309,901.16
  5. Step 5: Solve for x
    x = 57,309,901.16/8,449.25
  6. Step 6: Final answer
    x = 6,782.84

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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.