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Finding the Fourth Proportional to 8,687.25, 11,983.10 and 5,148.09

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Solution

The fourth proportional to 8,687.25, 11,983.10 and 5,148.09 is: 7,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.25 : 11,983.10 = 5,148.09 : x
  2. Step 2: Convert to fraction form
    8,687.25/11,983.10 = 5,148.09/x
  3. Step 3: Cross multiply
    8,687.25x = 11,983.10 × 5,148.09
  4. Step 4: Simplify right side
    8,687.25x = 61,690,051.54
  5. Step 5: Solve for x
    x = 61,690,051.54/8,687.25
  6. Step 6: Final answer
    x = 7,101.22

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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.