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Finding the Fourth Proportional to 6,538.77, 9,808.08 and 2,843.64

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Solution

The fourth proportional to 6,538.77, 9,808.08 and 2,843.64 is: 4,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.77 : 9,808.08 = 2,843.64 : x
  2. Step 2: Convert to fraction form
    6,538.77/9,808.08 = 2,843.64/x
  3. Step 3: Cross multiply
    6,538.77x = 9,808.08 × 2,843.64
  4. Step 4: Simplify right side
    6,538.77x = 27,890,648.61
  5. Step 5: Solve for x
    x = 27,890,648.61/6,538.77
  6. Step 6: Final answer
    x = 4,265.43

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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.