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Finding the Fourth Proportional to 8,473.68, 11,667.24 and 6,976.80

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Solution

The fourth proportional to 8,473.68, 11,667.24 and 6,976.80 is: 9,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.68 : 11,667.24 = 6,976.80 : x
  2. Step 2: Convert to fraction form
    8,473.68/11,667.24 = 6,976.80/x
  3. Step 3: Cross multiply
    8,473.68x = 11,667.24 × 6,976.80
  4. Step 4: Simplify right side
    8,473.68x = 81,400,000.03
  5. Step 5: Solve for x
    x = 81,400,000.03/8,473.68
  6. Step 6: Final answer
    x = 9,606.22

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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.