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Finding the Fourth Proportional to 9,235.02, 13,843.98 and 3,687

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Solution

The fourth proportional to 9,235.02, 13,843.98 and 3,687 is: 5,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.02 : 13,843.98 = 3,687 : x
  2. Step 2: Convert to fraction form
    9,235.02/13,843.98 = 3,687/x
  3. Step 3: Cross multiply
    9,235.02x = 13,843.98 × 3,687
  4. Step 4: Simplify right side
    9,235.02x = 51,042,754.26
  5. Step 5: Solve for x
    x = 51,042,754.26/9,235.02
  6. Step 6: Final answer
    x = 5,527.09

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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.