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Finding the Fourth Proportional to 8,471.80, 11,683.86 and 6,700.33

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Solution

The fourth proportional to 8,471.80, 11,683.86 and 6,700.33 is: 9,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.80 : 11,683.86 = 6,700.33 : x
  2. Step 2: Convert to fraction form
    8,471.80/11,683.86 = 6,700.33/x
  3. Step 3: Cross multiply
    8,471.80x = 11,683.86 × 6,700.33
  4. Step 4: Simplify right side
    8,471.80x = 78,285,659.25
  5. Step 5: Solve for x
    x = 78,285,659.25/8,471.80
  6. Step 6: Final answer
    x = 9,240.74

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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.