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Finding the Fourth Proportional to 5,998.74, 8,260.97 and 5,980.52

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Solution

The fourth proportional to 5,998.74, 8,260.97 and 5,980.52 is: 8,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.74 : 8,260.97 = 5,980.52 : x
  2. Step 2: Convert to fraction form
    5,998.74/8,260.97 = 5,980.52/x
  3. Step 3: Cross multiply
    5,998.74x = 8,260.97 × 5,980.52
  4. Step 4: Simplify right side
    5,998.74x = 49,404,825.10
  5. Step 5: Solve for x
    x = 49,404,825.10/5,998.74
  6. Step 6: Final answer
    x = 8,235.87

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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.