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Finding the Fourth Proportional to 6,654.96, 9,983.52 and 3,736.80

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Solution

The fourth proportional to 6,654.96, 9,983.52 and 3,736.80 is: 5,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.96 : 9,983.52 = 3,736.80 : x
  2. Step 2: Convert to fraction form
    6,654.96/9,983.52 = 3,736.80/x
  3. Step 3: Cross multiply
    6,654.96x = 9,983.52 × 3,736.80
  4. Step 4: Simplify right side
    6,654.96x = 37,306,417.54
  5. Step 5: Solve for x
    x = 37,306,417.54/6,654.96
  6. Step 6: Final answer
    x = 5,605.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.