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Finding the Fourth Proportional to 6,042.92, 9,064.78 and 1,660.82

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Solution

The fourth proportional to 6,042.92, 9,064.78 and 1,660.82 is: 2,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.92 : 9,064.78 = 1,660.82 : x
  2. Step 2: Convert to fraction form
    6,042.92/9,064.78 = 1,660.82/x
  3. Step 3: Cross multiply
    6,042.92x = 9,064.78 × 1,660.82
  4. Step 4: Simplify right side
    6,042.92x = 15,054,918.44
  5. Step 5: Solve for x
    x = 15,054,918.44/6,042.92
  6. Step 6: Final answer
    x = 2,491.33

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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.