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Finding the Fourth Proportional to 5,406.67, 7,454.49 and 4,511.73

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Solution

The fourth proportional to 5,406.67, 7,454.49 and 4,511.73 is: 6,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.67 : 7,454.49 = 4,511.73 : x
  2. Step 2: Convert to fraction form
    5,406.67/7,454.49 = 4,511.73/x
  3. Step 3: Cross multiply
    5,406.67x = 7,454.49 × 4,511.73
  4. Step 4: Simplify right side
    5,406.67x = 33,632,646.17
  5. Step 5: Solve for x
    x = 33,632,646.17/5,406.67
  6. Step 6: Final answer
    x = 6,220.58

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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.