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Finding the Fourth Proportional to 7,244.32, 9,997 and 4,100.44

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Solution

The fourth proportional to 7,244.32, 9,997 and 4,100.44 is: 5,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.32 : 9,997 = 4,100.44 : x
  2. Step 2: Convert to fraction form
    7,244.32/9,997 = 4,100.44/x
  3. Step 3: Cross multiply
    7,244.32x = 9,997 × 4,100.44
  4. Step 4: Simplify right side
    7,244.32x = 40,992,098.68
  5. Step 5: Solve for x
    x = 40,992,098.68/7,244.32
  6. Step 6: Final answer
    x = 5,658.52

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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.