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Finding the Fourth Proportional to 8,735.68, 12,046.82 and 5,747.80

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Solution

The fourth proportional to 8,735.68, 12,046.82 and 5,747.80 is: 7,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.68 : 12,046.82 = 5,747.80 : x
  2. Step 2: Convert to fraction form
    8,735.68/12,046.82 = 5,747.80/x
  3. Step 3: Cross multiply
    8,735.68x = 12,046.82 × 5,747.80
  4. Step 4: Simplify right side
    8,735.68x = 69,242,712.00
  5. Step 5: Solve for x
    x = 69,242,712.00/8,735.68
  6. Step 6: Final answer
    x = 7,926.42

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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.