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Finding the Fourth Proportional to 5,636.97, 8,442.92 and 5,497.54

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Solution

The fourth proportional to 5,636.97, 8,442.92 and 5,497.54 is: 8,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.97 : 8,442.92 = 5,497.54 : x
  2. Step 2: Convert to fraction form
    5,636.97/8,442.92 = 5,497.54/x
  3. Step 3: Cross multiply
    5,636.97x = 8,442.92 × 5,497.54
  4. Step 4: Simplify right side
    5,636.97x = 46,415,283.05
  5. Step 5: Solve for x
    x = 46,415,283.05/5,636.97
  6. Step 6: Final answer
    x = 8,234.08

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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.