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Finding the Fourth Proportional to 9,269.91, 12,794.25 and 7,249.32

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Solution

The fourth proportional to 9,269.91, 12,794.25 and 7,249.32 is: 10,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.91 : 12,794.25 = 7,249.32 : x
  2. Step 2: Convert to fraction form
    9,269.91/12,794.25 = 7,249.32/x
  3. Step 3: Cross multiply
    9,269.91x = 12,794.25 × 7,249.32
  4. Step 4: Simplify right side
    9,269.91x = 92,749,548.44
  5. Step 5: Solve for x
    x = 92,749,548.44/9,269.91
  6. Step 6: Final answer
    x = 10,005.45

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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.