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Finding the Fourth Proportional to 9,504.54, 14,256.54 and 3,662.42

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Solution

The fourth proportional to 9,504.54, 14,256.54 and 3,662.42 is: 5,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.54 : 14,256.54 = 3,662.42 : x
  2. Step 2: Convert to fraction form
    9,504.54/14,256.54 = 3,662.42/x
  3. Step 3: Cross multiply
    9,504.54x = 14,256.54 × 3,662.42
  4. Step 4: Simplify right side
    9,504.54x = 52,213,365.94
  5. Step 5: Solve for x
    x = 52,213,365.94/9,504.54
  6. Step 6: Final answer
    x = 5,493.52

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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.