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Finding the Fourth Proportional to 8,406, 11,600.54 and 4,629.44

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Solution

The fourth proportional to 8,406, 11,600.54 and 4,629.44 is: 6,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 11,600.54 = 4,629.44 : x
  2. Step 2: Convert to fraction form
    8,406/11,600.54 = 4,629.44/x
  3. Step 3: Cross multiply
    8,406x = 11,600.54 × 4,629.44
  4. Step 4: Simplify right side
    8,406x = 53,704,003.90
  5. Step 5: Solve for x
    x = 53,704,003.90/8,406
  6. Step 6: Final answer
    x = 6,388.77

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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.