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Finding the Fourth Proportional to 9,202.96, 13,794.80 and 4,007.44

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Solution

The fourth proportional to 9,202.96, 13,794.80 and 4,007.44 is: 6,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.96 : 13,794.80 = 4,007.44 : x
  2. Step 2: Convert to fraction form
    9,202.96/13,794.80 = 4,007.44/x
  3. Step 3: Cross multiply
    9,202.96x = 13,794.80 × 4,007.44
  4. Step 4: Simplify right side
    9,202.96x = 55,281,833.31
  5. Step 5: Solve for x
    x = 55,281,833.31/9,202.96
  6. Step 6: Final answer
    x = 6,006.96

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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.