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Finding the Fourth Proportional to 8,207.50, 11,326.41 and 4,481.50

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Solution

The fourth proportional to 8,207.50, 11,326.41 and 4,481.50 is: 6,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.50 : 11,326.41 = 4,481.50 : x
  2. Step 2: Convert to fraction form
    8,207.50/11,326.41 = 4,481.50/x
  3. Step 3: Cross multiply
    8,207.50x = 11,326.41 × 4,481.50
  4. Step 4: Simplify right side
    8,207.50x = 50,759,306.42
  5. Step 5: Solve for x
    x = 50,759,306.42/8,207.50
  6. Step 6: Final answer
    x = 6,184.50

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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.