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Finding the Fourth Proportional to 8,083.62, 11,149.43 and 5,566.54

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Solution

The fourth proportional to 8,083.62, 11,149.43 and 5,566.54 is: 7,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.62 : 11,149.43 = 5,566.54 : x
  2. Step 2: Convert to fraction form
    8,083.62/11,149.43 = 5,566.54/x
  3. Step 3: Cross multiply
    8,083.62x = 11,149.43 × 5,566.54
  4. Step 4: Simplify right side
    8,083.62x = 62,063,748.07
  5. Step 5: Solve for x
    x = 62,063,748.07/8,083.62
  6. Step 6: Final answer
    x = 7,677.72

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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.