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Finding the Fourth Proportional to 10,444.25, 15,662.72 and 4,202.64

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Solution

The fourth proportional to 10,444.25, 15,662.72 and 4,202.64 is: 6,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.25 : 15,662.72 = 4,202.64 : x
  2. Step 2: Convert to fraction form
    10,444.25/15,662.72 = 4,202.64/x
  3. Step 3: Cross multiply
    10,444.25x = 15,662.72 × 4,202.64
  4. Step 4: Simplify right side
    10,444.25x = 65,824,773.58
  5. Step 5: Solve for x
    x = 65,824,773.58/10,444.25
  6. Step 6: Final answer
    x = 6,302.49

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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.