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Finding the Fourth Proportional to 8,179.65, 11,287.89 and 4,643.46

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Solution

The fourth proportional to 8,179.65, 11,287.89 and 4,643.46 is: 6,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.65 : 11,287.89 = 4,643.46 : x
  2. Step 2: Convert to fraction form
    8,179.65/11,287.89 = 4,643.46/x
  3. Step 3: Cross multiply
    8,179.65x = 11,287.89 × 4,643.46
  4. Step 4: Simplify right side
    8,179.65x = 52,414,865.70
  5. Step 5: Solve for x
    x = 52,414,865.70/8,179.65
  6. Step 6: Final answer
    x = 6,407.96

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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.