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Finding the Fourth Proportional to 8,644.68, 11,924.10 and 5,107.68

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Solution

The fourth proportional to 8,644.68, 11,924.10 and 5,107.68 is: 7,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.68 : 11,924.10 = 5,107.68 : x
  2. Step 2: Convert to fraction form
    8,644.68/11,924.10 = 5,107.68/x
  3. Step 3: Cross multiply
    8,644.68x = 11,924.10 × 5,107.68
  4. Step 4: Simplify right side
    8,644.68x = 60,904,487.09
  5. Step 5: Solve for x
    x = 60,904,487.09/8,644.68
  6. Step 6: Final answer
    x = 7,045.31

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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.