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Finding the Fourth Proportional to 9,902.21, 13,664.98 and 5,924.30

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Solution

The fourth proportional to 9,902.21, 13,664.98 and 5,924.30 is: 8,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.21 : 13,664.98 = 5,924.30 : x
  2. Step 2: Convert to fraction form
    9,902.21/13,664.98 = 5,924.30/x
  3. Step 3: Cross multiply
    9,902.21x = 13,664.98 × 5,924.30
  4. Step 4: Simplify right side
    9,902.21x = 80,955,441.01
  5. Step 5: Solve for x
    x = 80,955,441.01/9,902.21
  6. Step 6: Final answer
    x = 8,175.49

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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.