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Finding the Fourth Proportional to 6,273.96, 9,356.12 and 5,497.58

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Solution

The fourth proportional to 6,273.96, 9,356.12 and 5,497.58 is: 8,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.96 : 9,356.12 = 5,497.58 : x
  2. Step 2: Convert to fraction form
    6,273.96/9,356.12 = 5,497.58/x
  3. Step 3: Cross multiply
    6,273.96x = 9,356.12 × 5,497.58
  4. Step 4: Simplify right side
    6,273.96x = 51,436,018.19
  5. Step 5: Solve for x
    x = 51,436,018.19/6,273.96
  6. Step 6: Final answer
    x = 8,198.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.